Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bq |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-95997415328317440 = -1 · 234 · 37 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114520,21126640] |
[a1,a2,a3,a4,a6] |
j |
-40551934291467481/23436868976640 |
j-invariant |
L |
0.62614330127666 |
L(r)(E,1)/r! |
Ω |
0.31307230050572 |
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 |
15330l1 |
Quadratic twists by: -4 |