Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970ck |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-2.4934612187208E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31043581,-66620103439] |
[a1,a2,a3,a4,a6] |
j |
-1867596456486858577129/1407493853568000 |
j-invariant |
L |
4.476978540629 |
L(r)(E,1)/r! |
Ω |
0.031978418142772 |
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 |
6270h1 |
Quadratic twists by: -11 |