Atkin-Lehner |
2- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114608k |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
9133315063808 = 226 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 2 4 2 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13096,-553872] |
[a1,a2,a3,a4,a6] |
j |
60647503094569/2229813248 |
j-invariant |
L |
8.0512948024463 |
L(r)(E,1)/r! |
Ω |
0.44729422627527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14326c1 |
Quadratic twists by: -4 |