Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cl |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
268204769280 = 222 · 32 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1856,17460] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:126:1] |
Generators of the group modulo torsion |
j |
172715635009/65479680 |
j-invariant |
L |
7.1665827216174 |
L(r)(E,1)/r! |
Ω |
0.89413733541853 |
Real period |
R |
2.0037701250496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090r1 |
Quadratic twists by: -4 |