Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850c |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-8.3003099034419E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183823525,959313178125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6222841794:-3143554688031:2685619] |
Generators of the group modulo torsion |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
6.3101505572623 |
L(r)(E,1)/r! |
Ω |
0.10394520456039 |
Real period |
R |
15.176627396977 |
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 |
6370k1 31850bd1 |
Quadratic twists by: 5 -7 |