Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143a |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-26030157478967997 = -1 · 32 · 179 · 293 |
Discriminant |
Eigenvalues |
-1 3+ 0 -1 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31218,8034492] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-2517:1] |
Generators of the group modulo torsion |
j |
-28372625/219501 |
j-invariant |
L |
1.9280981408166 |
L(r)(E,1)/r! |
Ω |
0.32288960442808 |
Real period |
R |
1.4928462502159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429r1 25143p1 |
Quadratic twists by: -3 17 |