Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410ck |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-17362790010720 = -1 · 25 · 32 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5019,-146079] |
[a1,a2,a3,a4,a6] |
j |
954990717791/1185901920 |
j-invariant |
L |
3.7073200862156 |
L(r)(E,1)/r! |
Ω |
0.37073200862156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230bs1 127050ba1 25410bb1 |
Quadratic twists by: -3 5 -11 |