Atkin-Lehner |
2- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34592d |
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 |
[273:4488:1] |
Generators of the group modulo torsion |
j |
647663663808/1168561 |
j-invariant |
L |
2.4501384444723 |
L(r)(E,1)/r! |
Ω |
0.92143097479658 |
Real period |
R |
5.3181160857163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34592c1 69184e2 |
Quadratic twists by: -4 8 |