Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2520d |
Isogeny class |
Conductor |
2520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
67512690000 = 24 · 39 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2862,-57591] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:35:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
3.4030896210516 |
L(r)(E,1)/r! |
Ω |
0.65376577052505 |
Real period |
R |
0.43378043718401 |
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 |
5040e1 20160k1 2520m1 12600bi1 |
Quadratic twists by: -4 8 -3 5 |