Atkin-Lehner |
2- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68672be |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-68672 = -1 · 26 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -1 2 -2 -3 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132,-542] |
[a1,a2,a3,a4,a6] |
Generators |
[91:856:1] |
Generators of the group modulo torsion |
j |
-4004529472/1073 |
j-invariant |
L |
3.2218871872207 |
L(r)(E,1)/r! |
Ω |
0.70379352204572 |
Real period |
R |
4.5778869605784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672bc1 34336c1 |
Quadratic twists by: -4 8 |