Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bl |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-3513113770982400 = -1 · 210 · 37 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,2851706] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1690:1] |
Generators of the group modulo torsion |
j |
-4/975 |
j-invariant |
L |
8.0932640543437 |
L(r)(E,1)/r! |
Ω |
0.35415702279476 |
Real period |
R |
0.71413098136605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840u1 40560b1 9360m1 |
Quadratic twists by: -4 -3 13 |