Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104bn |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-78219620352 = -1 · 212 · 33 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-13456] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1479:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
7.6566186316742 |
L(r)(E,1)/r! |
Ω |
0.4979805546961 |
Real period |
R |
2.5625560936424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7569b1 121104bn2 121104ba1 |
Quadratic twists by: -4 -3 29 |