Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825i |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-8134765625 = -1 · 510 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 3 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,7517] |
[a1,a2,a3,a4,a6] |
j |
-60025/17 |
j-invariant |
L |
1.2441153140699 |
L(r)(E,1)/r! |
Ω |
1.2441153140698 |
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 |
20825be1 20825e1 |
Quadratic twists by: 5 -7 |