Atkin-Lehner |
2+ 3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154bj |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
248320 |
Modular degree for the optimal curve |
Δ |
-2176156040436 = -1 · 22 · 37 · 75 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6741,226233] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-588:1] [42:-147:1] |
Generators of the group modulo torsion |
j |
-46473502468177/2985124884 |
j-invariant |
L |
6.5728925711954 |
L(r)(E,1)/r! |
Ω |
0.81030849762992 |
Real period |
R |
0.10139490992566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32718z1 |
Quadratic twists by: -3 |