Atkin-Lehner |
3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921v |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-3103397529507 = -1 · 39 · 116 · 89 |
Discriminant |
Eigenvalues |
0 3- 0 -2 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3630,119457] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:337:1] [-110:3263:8] |
Generators of the group modulo torsion |
j |
-4096000/2403 |
j-invariant |
L |
9.0239603126723 |
L(r)(E,1)/r! |
Ω |
0.74068120933783 |
Real period |
R |
1.5229156955655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32307i1 801c1 |
Quadratic twists by: -3 -11 |