Atkin-Lehner |
2- 3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35604c |
Isogeny class |
Conductor |
35604 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-114618675456 = -1 · 28 · 39 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -1 -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3159,70254] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1242:1] [-38:368:1] |
Generators of the group modulo torsion |
j |
-691896816/22747 |
j-invariant |
L |
7.1748744463285 |
L(r)(E,1)/r! |
Ω |
1.0466360399854 |
Real period |
R |
0.57126468133963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35604a1 |
Quadratic twists by: -3 |