Atkin-Lehner |
3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975q |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1563944625 = -1 · 33 · 53 · 19 · 293 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 4 -7 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,280,-668] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-235:1] [382:2575:8] |
Generators of the group modulo torsion |
j |
721734273/463391 |
j-invariant |
L |
8.0768914378254 |
L(r)(E,1)/r! |
Ω |
0.86161446443693 |
Real period |
R |
0.78117802601775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975k1 123975o1 |
Quadratic twists by: -3 5 |