Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880bc |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5285250000 = 24 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462,-1541] |
[a1,a2,a3,a4,a6] |
j |
934979584/453125 |
j-invariant |
L |
3.2431757656661 |
L(r)(E,1)/r! |
Ω |
1.0810585885554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10440bd1 83520er1 2320b1 104400bt1 |
Quadratic twists by: -4 8 -3 5 |