Atkin-Lehner |
2- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34592c |
Isogeny class |
Conductor |
34592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
74787904 = 26 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-721,7440] |
[a1,a2,a3,a4,a6] |
Generators |
[7511:15912:343] |
Generators of the group modulo torsion |
j |
647663663808/1168561 |
j-invariant |
L |
6.1019968463452 |
L(r)(E,1)/r! |
Ω |
1.9393049302561 |
Real period |
R |
6.2929730659109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34592d1 69184d2 |
Quadratic twists by: -4 8 |