Atkin-Lehner |
2+ 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cd |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10813440 |
Modular degree for the optimal curve |
Δ |
-5.4303490435939E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4268466,-10686615980] |
[a1,a2,a3,a4,a6] |
j |
11798087313769122737951/74490384685787642880 |
j-invariant |
L |
2.684446714695 |
L(r)(E,1)/r! |
Ω |
0.055925966930723 |
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 |
39270bu1 |
Quadratic twists by: -3 |