Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322i |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153120 |
Modular degree for the optimal curve |
Δ |
42020698688724 = 22 · 3 · 7 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -2 -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75707,-8043303] |
[a1,a2,a3,a4,a6] |
j |
95930521/84 |
j-invariant |
L |
0.57566208161399 |
L(r)(E,1)/r! |
Ω |
0.28783104081481 |
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 |
105966cf1 35322z1 |
Quadratic twists by: -3 29 |