Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188w |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-620720325042492528 = -1 · 24 · 315 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 5 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420861,111716129] |
[a1,a2,a3,a4,a6] |
j |
-17514989824/1318761 |
j-invariant |
L |
2.268798986143 |
L(r)(E,1)/r! |
Ω |
0.283599841107 |
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 |
39396b1 118188v1 |
Quadratic twists by: -3 -7 |