Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3380i |
Isogeny class |
Conductor |
3380 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
386144720 = 24 · 5 · 136 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,820] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:44:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
2.428391222524 |
L(r)(E,1)/r! |
Ω |
1.5666814454584 |
Real period |
R |
3.1000446575322 |
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 |
13520bb1 54080o1 30420j1 16900j1 |
Quadratic twists by: -4 8 -3 5 |