Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
83148g |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
72015840 |
Modular degree for the optimal curve |
Δ |
-85302305819198208 = -1 · 28 · 35 · 138 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43685440933,-3514430816458249] |
[a1,a2,a3,a4,a6] |
Generators |
[143542249826295266226622018420348003763390713929323841503047761969786626064328566359682989414242356625685007075346:277761894809215270182293519609946285147358076221472655044327216375769146664463967180297406874625496331109342438421333:38213642844170112443895139183886742978623931669793858729845336649764616242818947079872611645896882251346984] |
Generators of the group modulo torsion |
j |
-44151666340655291392000000/408483 |
j-invariant |
L |
9.1690163240824 |
L(r)(E,1)/r! |
Ω |
0.0052213809234714 |
Real period |
R |
175.60519828893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83148i1 |
Quadratic twists by: 13 |