Atkin-Lehner |
2- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68080s |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
40085504000 = 214 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1787,27434] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:230:1] |
Generators of the group modulo torsion |
j |
154076860881/9786500 |
j-invariant |
L |
4.3398964270702 |
L(r)(E,1)/r! |
Ω |
1.1281316553805 |
Real period |
R |
0.64116281790556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8510g1 |
Quadratic twists by: -4 |