Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496by |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3968745984 = -1 · 29 · 36 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-4034] |
[a1,a2,a3,a4,a6] |
Generators |
[45:266:1] |
Generators of the group modulo torsion |
j |
-14172488/10633 |
j-invariant |
L |
6.5251183590181 |
L(r)(E,1)/r! |
Ω |
0.52960721071004 |
Real period |
R |
2.0534458452879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496h1 124992dd1 6944c1 |
Quadratic twists by: -4 8 -3 |