Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880bi |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-48762911195136000 = -1 · 234 · 33 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72357,-7533558] |
[a1,a2,a3,a4,a6] |
Generators |
[5956:5017:64] |
Generators of the group modulo torsion |
j |
378827638483293/440926208000 |
j-invariant |
L |
5.25425995085 |
L(r)(E,1)/r! |
Ω |
0.19212613928442 |
Real period |
R |
6.8369925747996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2610h1 83520dv1 20880bn1 104400dg1 |
Quadratic twists by: -4 8 -3 5 |