Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bp |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
4455360 |
Modular degree for the optimal curve |
Δ |
-1.1353783752115E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8674311,-9969684867] |
[a1,a2,a3,a4,a6] |
j |
-4930125119275609518529/77547870720000000 |
j-invariant |
L |
1.9775044815693 |
L(r)(E,1)/r! |
Ω |
0.043944543890876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970b1 |
Quadratic twists by: -11 |