Atkin-Lehner |
2+ 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570c |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10200960 |
Modular degree for the optimal curve |
Δ |
-4.0552808231945E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70177320,-206585412800] |
[a1,a2,a3,a4,a6] |
j |
52430803961239418232136319/55627994831200000000000 |
j-invariant |
L |
1.7463719492998 |
L(r)(E,1)/r! |
Ω |
0.034927438986032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730i1 |
Quadratic twists by: -3 |