Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600s |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47360 |
Modular degree for the optimal curve |
Δ |
-1612000000 = -1 · 28 · 56 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 3 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300,42500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:25:1] |
Generators of the group modulo torsion |
j |
-336393216/403 |
j-invariant |
L |
6.4360402760624 |
L(r)(E,1)/r! |
Ω |
1.496013171543 |
Real period |
R |
1.0755320212158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224b1 |
Quadratic twists by: 5 |