Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
51442h |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1168644540704 = -1 · 25 · 177 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 4 -4 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13011,568177] |
[a1,a2,a3,a4,a6] |
Generators |
[103:526:1] |
Generators of the group modulo torsion |
j |
-10091699281/48416 |
j-invariant |
L |
6.6573678088401 |
L(r)(E,1)/r! |
Ω |
0.87133878490419 |
Real period |
R |
0.76403896212906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026b1 |
Quadratic twists by: 17 |