Atkin-Lehner |
2+ 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576h |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-456644784 = -1 · 24 · 3 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47,1020] |
[a1,a2,a3,a4,a6] |
Generators |
[28904552700:-141989218896:1242296875] |
Generators of the group modulo torsion |
j |
-733001728/28540299 |
j-invariant |
L |
10.001368973242 |
L(r)(E,1)/r! |
Ω |
1.3868310277123 |
Real period |
R |
14.423341811099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288e1 |
Quadratic twists by: -4 |