Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cs |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
10822500000000 = 28 · 32 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5588,27792] |
[a1,a2,a3,a4,a6] |
Generators |
[112:844:1] |
Generators of the group modulo torsion |
j |
1235030650489/692640000 |
j-invariant |
L |
14.844261933989 |
L(r)(E,1)/r! |
Ω |
0.62207900461614 |
Real period |
R |
1.4913963723837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430e1 |
Quadratic twists by: 5 |