Atkin-Lehner |
2- 3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452d |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
11709967824 = 24 · 39 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756,-6075] |
[a1,a2,a3,a4,a6] |
Generators |
[67:494:1] |
Generators of the group modulo torsion |
j |
151732224/37183 |
j-invariant |
L |
2.7205304723244 |
L(r)(E,1)/r! |
Ω |
0.92676380713937 |
Real period |
R |
2.9355165257982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70452b1 |
Quadratic twists by: -3 |