Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cq |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3038049000 = -1 · 23 · 32 · 53 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-246,-3060] |
[a1,a2,a3,a4,a6] |
j |
-33608047921/62001000 |
j-invariant |
L |
6.8165045299613 |
L(r)(E,1)/r! |
Ω |
0.56804197111599 |
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 |
122010cc1 |
Quadratic twists by: -7 |