Atkin-Lehner |
3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175bc |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-5.4642327778904E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39402888,-101630269233] |
[a1,a2,a3,a4,a6] |
j |
-3463999626063346990829/279768718227989907 |
j-invariant |
L |
1.6194844269984 |
L(r)(E,1)/r! |
Ω |
0.029990452351876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105525bk1 35175r1 |
Quadratic twists by: -3 5 |