Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825g |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1875812200390625 = -1 · 58 · 710 · 17 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,-2084375] |
[a1,a2,a3,a4,a6] |
j |
-49/425 |
j-invariant |
L |
0.42640950754684 |
L(r)(E,1)/r! |
Ω |
0.21320475377343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165n1 20825c1 |
Quadratic twists by: 5 -7 |