Atkin-Lehner |
2+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88768j |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-2961493639168 = -1 · 214 · 195 · 73 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -4 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12853,-571245] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:2527:8] |
Generators of the group modulo torsion |
j |
-14333461504000/180755227 |
j-invariant |
L |
3.5252642069665 |
L(r)(E,1)/r! |
Ω |
0.22402144931349 |
Real period |
R |
3.1472559491613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768m1 5548a1 |
Quadratic twists by: -4 8 |