Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9425a |
Isogeny class |
Conductor |
9425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
736328125 = 59 · 13 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1633,25918] |
[a1,a2,a3,a4,a6] |
Generators |
[22:12:1] |
Generators of the group modulo torsion |
j |
30840979456/47125 |
j-invariant |
L |
2.6931165929598 |
L(r)(E,1)/r! |
Ω |
1.6006073834094 |
Real period |
R |
0.84127957326526 |
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 |
84825p1 1885e1 122525b1 |
Quadratic twists by: -3 5 13 |