Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736di |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
8574586157675839488 = 222 · 3 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-512112,-7143468] |
[a1,a2,a3,a4,a6] |
Generators |
[-88445:151734:125] |
Generators of the group modulo torsion |
j |
2046931732873/1181672448 |
j-invariant |
L |
9.2362094764791 |
L(r)(E,1)/r! |
Ω |
0.19478772145696 |
Real period |
R |
5.927099383829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342u1 8976bd1 |
Quadratic twists by: -4 -11 |