Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715bf |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
159120 |
Modular degree for the optimal curve |
Δ |
-3034454486835 = -1 · 3 · 5 · 178 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -2 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3275,109496] |
[a1,a2,a3,a4,a6] |
Generators |
[3330:25514:125] |
Generators of the group modulo torsion |
j |
-557056/435 |
j-invariant |
L |
7.9126289594517 |
L(r)(E,1)/r! |
Ω |
0.73504609341416 |
Real period |
R |
3.5882688322139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715b1 |
Quadratic twists by: 17 |