Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5985r |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-9542023155 = -1 · 315 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,438,-3105] |
[a1,a2,a3,a4,a6] |
Generators |
[130:725:8] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
3.5327930320303 |
L(r)(E,1)/r! |
Ω |
0.70246014489413 |
Real period |
R |
1.2572930499006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760ei1 1995f1 29925t1 41895q1 |
Quadratic twists by: -4 -3 5 -7 |