Atkin-Lehner |
2- 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560by |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-10257030000 = -1 · 24 · 37 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,-4913] |
[a1,a2,a3,a4,a6] |
j |
-47659369216/641064375 |
j-invariant |
L |
2.1990607508353 |
L(r)(E,1)/r! |
Ω |
0.54976501466494 |
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 |
28140q1 |
Quadratic twists by: -4 |