Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cd |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4544064000000 = 212 · 32 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23000,1346352] |
[a1,a2,a3,a4,a6] |
Generators |
[74:210:1] |
Generators of the group modulo torsion |
j |
328523283207001/1109390625 |
j-invariant |
L |
5.8793807056945 |
L(r)(E,1)/r! |
Ω |
0.77733490701716 |
Real period |
R |
0.21009751297597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415g1 115920dj1 |
Quadratic twists by: -4 -3 |