Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675m |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
13224515625 = 39 · 56 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5517,159016] |
[a1,a2,a3,a4,a6] |
Generators |
[24:188:1] |
Generators of the group modulo torsion |
j |
1630532233/1161 |
j-invariant |
L |
5.1689991045398 |
L(r)(E,1)/r! |
Ω |
1.2479769894635 |
Real period |
R |
2.070951286835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3225c1 387d1 |
Quadratic twists by: -3 5 |