Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830y |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-113755815936000 = -1 · 224 · 33 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28352,1914851] |
[a1,a2,a3,a4,a6] |
j |
-93346209637802883/4213178368000 |
j-invariant |
L |
4.6901879038465 |
L(r)(E,1)/r! |
Ω |
0.58627348798079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25830d3 129150b1 |
Quadratic twists by: -3 5 |