Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9135o |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-101948984235 = -1 · 315 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-327,-15530] |
[a1,a2,a3,a4,a6] |
Generators |
[55:364:1] |
Generators of the group modulo torsion |
j |
-5304438784/139847715 |
j-invariant |
L |
2.6271305846712 |
L(r)(E,1)/r! |
Ω |
0.46064965017058 |
Real period |
R |
0.71288738190139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045b1 45675r1 63945t1 |
Quadratic twists by: -3 5 -7 |