Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550n |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
317069156250000 = 24 · 32 · 59 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2936325,-1937887875] |
[a1,a2,a3,a4,a6] |
Generators |
[2385:66870:1] |
Generators of the group modulo torsion |
j |
1433528304665250149/162339408 |
j-invariant |
L |
2.6331811919435 |
L(r)(E,1)/r! |
Ω |
0.11533165062446 |
Real period |
R |
2.2831383906206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400ig1 34650dx1 11550cu1 80850df1 |
Quadratic twists by: -4 -3 5 -7 |