Atkin-Lehner |
3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641i |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3653619911684127 = -1 · 312 · 73 · 114 · 372 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33453,-1714608] |
[a1,a2,a3,a4,a6] |
j |
5679290619623375/5011824295863 |
j-invariant |
L |
2.9250280085287 |
L(r)(E,1)/r! |
Ω |
0.24375233404407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547f1 |
Quadratic twists by: -3 |