Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45100a |
Isogeny class |
Conductor |
45100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
254251250000 = 24 · 57 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4700,121625] |
[a1,a2,a3,a4,a6] |
Generators |
[10:275:1] |
Generators of the group modulo torsion |
j |
45927972864/1017005 |
j-invariant |
L |
4.487758894371 |
L(r)(E,1)/r! |
Ω |
0.98336609058075 |
Real period |
R |
0.76061176289166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9020a1 |
Quadratic twists by: 5 |