Atkin-Lehner |
2+ 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bd |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1359360 |
Modular degree for the optimal curve |
Δ |
-8002221562500 = -1 · 22 · 3 · 57 · 115 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-493026,-133286552] |
[a1,a2,a3,a4,a6] |
j |
-848226600318144529/512142180 |
j-invariant |
L |
1.8016986953163 |
L(r)(E,1)/r! |
Ω |
0.090084939899791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490u1 |
Quadratic twists by: 5 |