Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880ce |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
39902301388800000 = 226 · 38 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253443,48160258] |
[a1,a2,a3,a4,a6] |
j |
602944222256641/13363200000 |
j-invariant |
L |
1.451420693625 |
L(r)(E,1)/r! |
Ω |
0.36285517340623 |
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 |
2610f1 83520fz1 6960bk1 104400fe1 |
Quadratic twists by: -4 8 -3 5 |