Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970z |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4530240 |
Modular degree for the optimal curve |
Δ |
-1.2780936762521E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1672096,1505447876] |
[a1,a2,a3,a4,a6] |
j |
2411938489959911/5962401325710 |
j-invariant |
L |
2.3506388507615 |
L(r)(E,1)/r! |
Ω |
0.10684722075416 |
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 |
68970cg1 |
Quadratic twists by: -11 |