Atkin-Lehner |
3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143i |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
9.7468071945257E+21 |
Discriminant |
Eigenvalues |
-2 3+ 1 -3 6 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12408600,16143804614] |
[a1,a2,a3,a4,a6] |
j |
30290101672185856/1397239981029 |
j-invariant |
L |
0.76638224426649 |
L(r)(E,1)/r! |
Ω |
0.12773037404444 |
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 |
75429y1 25143r1 |
Quadratic twists by: -3 17 |