Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cw |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
143681126400 = 220 · 33 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1400,8148] |
[a1,a2,a3,a4,a6] |
j |
74140932601/35078400 |
j-invariant |
L |
5.526733899278 |
L(r)(E,1)/r! |
Ω |
0.92112231656388 |
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 |
6090d1 |
Quadratic twists by: -4 |