Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035a |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
19944225 = 35 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16618,817663] |
[a1,a2,a3,a4,a6] |
j |
507575685387993769/19944225 |
j-invariant |
L |
1.6034591576493 |
L(r)(E,1)/r! |
Ω |
1.6034591576493 |
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 |
112560ci1 21105k1 35175z1 49245bb1 |
Quadratic twists by: -4 -3 5 -7 |