Atkin-Lehner |
3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80475k |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1349213671875 = -1 · 3 · 58 · 292 · 372 |
Discriminant |
Eigenvalues |
2 3- 5- 1 -6 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1458,59369] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:2171:8] |
Generators of the group modulo torsion |
j |
-878080000/3453987 |
j-invariant |
L |
15.492325611253 |
L(r)(E,1)/r! |
Ω |
0.74763884839727 |
Real period |
R |
1.7268058458717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475c1 |
Quadratic twists by: 5 |