Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550h |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
124025000000 = 26 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2250,36500] |
[a1,a2,a3,a4,a6] |
Generators |
[65:380:1] |
Generators of the group modulo torsion |
j |
80677568161/7937600 |
j-invariant |
L |
5.8249378440967 |
L(r)(E,1)/r! |
Ω |
1.0156199978815 |
Real period |
R |
1.4338379158167 |
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 |
4510k1 |
Quadratic twists by: 5 |