Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464v |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-78384634416 = -1 · 24 · 39 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1014,-5195] |
[a1,a2,a3,a4,a6] |
Generators |
[54:455:1] |
Generators of the group modulo torsion |
j |
9885304832/6720219 |
j-invariant |
L |
4.8554130892927 |
L(r)(E,1)/r! |
Ω |
0.61560095959209 |
Real period |
R |
3.9436367127417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26928p1 107712bm1 4488e1 |
Quadratic twists by: -4 8 -3 |