Atkin-Lehner |
2- 3+ 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32604b |
Isogeny class |
Conductor |
32604 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
56339712 = 28 · 34 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109,-215] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] |
Generators of the group modulo torsion |
j |
564600832/220077 |
j-invariant |
L |
4.0796642373682 |
L(r)(E,1)/r! |
Ω |
1.5262926003977 |
Real period |
R |
1.3364620375887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97812i1 |
Quadratic twists by: -3 |