Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600z |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
9619594531250000 = 24 · 511 · 114 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21900033,-39454417562] |
[a1,a2,a3,a4,a6] |
Generators |
[171260620186343948:26358407107570493593:6950374784704] |
Generators of the group modulo torsion |
j |
4646415367355940880384/38478378125 |
j-invariant |
L |
3.6078056730347 |
L(r)(E,1)/r! |
Ω |
0.069789222646905 |
Real period |
R |
25.847871845344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997414162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31900c1 25520l1 |
Quadratic twists by: -4 5 |