Atkin-Lehner |
2- 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826t |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
3240445824 = 27 · 36 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4547,119107] |
[a1,a2,a3,a4,a6] |
Generators |
[35:26:1] |
Generators of the group modulo torsion |
j |
14258751510249/4445056 |
j-invariant |
L |
9.9935209638633 |
L(r)(E,1)/r! |
Ω |
1.3862472331541 |
Real period |
R |
0.51493190314202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314c1 |
Quadratic twists by: -3 |