Atkin-Lehner |
2+ 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570i |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52641792 |
Modular degree for the optimal curve |
Δ |
-6.7784490746401E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60955425,-351235101875] |
[a1,a2,a3,a4,a6] |
j |
34358426844688276373206799/92982840530042880000000 |
j-invariant |
L |
3.1792158070145 |
L(r)(E,1)/r! |
Ω |
0.031792153369117 |
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 |
38190y1 |
Quadratic twists by: -3 |