Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576bp |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10295657528832 = -1 · 29 · 37 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1221,-153502] |
[a1,a2,a3,a4,a6] |
Generators |
[49610:170791:1000] |
Generators of the group modulo torsion |
j |
539353144/27583959 |
j-invariant |
L |
6.3038254448387 |
L(r)(E,1)/r! |
Ω |
0.34607123067547 |
Real period |
R |
9.1076993410298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576bo2 36192j2 |
Quadratic twists by: -4 -3 |