Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bv |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
3903312634186825728 = 232 · 33 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-681512,-194799948] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
4.0167785472016 |
L(r)(E,1)/r! |
Ω |
0.16736577931416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794f1 912k1 |
Quadratic twists by: -4 -11 |