Atkin-Lehner |
3+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661f |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
47175459453837 = 34 · 119 · 13 · 19 |
Discriminant |
Eigenvalues |
2 3+ -2 3 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-48924,-4135759] |
[a1,a2,a3,a4,a6] |
Generators |
[38052:850477:64] |
Generators of the group modulo torsion |
j |
7310420365312/26629317 |
j-invariant |
L |
10.427352245032 |
L(r)(E,1)/r! |
Ω |
0.32108015518353 |
Real period |
R |
4.0594817514257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151c1 |
Quadratic twists by: -11 |