Atkin-Lehner |
2- 3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130br |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-49805056197000 = -1 · 23 · 316 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 6 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14198,-730803] |
[a1,a2,a3,a4,a6] |
Generators |
[23060:397407:64] |
Generators of the group modulo torsion |
j |
-434159214030361/68319693000 |
j-invariant |
L |
12.988694399356 |
L(r)(E,1)/r! |
Ω |
0.21680589557167 |
Real period |
R |
4.9924435747581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710f1 |
Quadratic twists by: -3 |