Atkin-Lehner |
3+ 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475b |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-117976397877555075 = -1 · 37 · 52 · 292 · 376 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 2 -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1358368,610037523] |
[a1,a2,a3,a4,a6] |
Generators |
[6474:50649:8] [9354:199023:8] |
Generators of the group modulo torsion |
j |
-11087569351746647265280/4719055915102203 |
j-invariant |
L |
17.2547680908 |
L(r)(E,1)/r! |
Ω |
0.32650181329905 |
Real period |
R |
13.211847062058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475l1 |
Quadratic twists by: 5 |