Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680be |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-6227071344000000 = -1 · 210 · 311 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29523,-4269278] |
[a1,a2,a3,a4,a6] |
Generators |
[4221:274000:1] |
Generators of the group modulo torsion |
j |
-1735192372/3796875 |
j-invariant |
L |
6.7133904461778 |
L(r)(E,1)/r! |
Ω |
0.17052561139686 |
Real period |
R |
4.9211013278444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bp1 40560bf1 121680cc1 |
Quadratic twists by: -4 -3 13 |