Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bo |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2411537411250000 = 24 · 32 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34283,610938] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1452:1] |
Generators of the group modulo torsion |
j |
10061824/5445 |
j-invariant |
L |
8.4263709710841 |
L(r)(E,1)/r! |
Ω |
0.40044901020974 |
Real period |
R |
2.6302883625849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bb1 6600ba1 |
Quadratic twists by: 5 -11 |