Atkin-Lehner |
5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45425a |
Isogeny class |
Conductor |
45425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57792 |
Modular degree for the optimal curve |
Δ |
2218017578125 = 513 · 23 · 79 |
Discriminant |
Eigenvalues |
0 -1 5+ 0 6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5033,118968] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:3121:8] |
Generators of the group modulo torsion |
j |
902548946944/141953125 |
j-invariant |
L |
4.1188589792865 |
L(r)(E,1)/r! |
Ω |
0.78645962716403 |
Real period |
R |
1.309304011619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9085c1 |
Quadratic twists by: 5 |