Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bc |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.0708960869502E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4898204,4459327706] |
[a1,a2,a3,a4,a6] |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
1.2168946341836 |
L(r)(E,1)/r! |
Ω |
0.15211182927292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230ez1 127050fo1 2310r1 |
Quadratic twists by: -3 5 -11 |