Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bu |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-5.3257424159241E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -1 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,861208,3497352048] |
[a1,a2,a3,a4,a6] |
j |
146588258764583/11051773342848 |
j-invariant |
L |
1.6604864113646 |
L(r)(E,1)/r! |
Ω |
0.10378040054557 |
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 |
8526k1 9744v1 |
Quadratic twists by: -4 -7 |