Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410g |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2227680 |
Modular degree for the optimal curve |
Δ |
-3.2540350579507E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-573058,-8680835852] |
[a1,a2,a3,a4,a6] |
j |
-1421509920358606969/2222549728809984000 |
j-invariant |
L |
1.4263724352883 |
L(r)(E,1)/r! |
Ω |
0.052828608714382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230ep1 127050if1 25410bw1 |
Quadratic twists by: -3 5 -11 |