Atkin-Lehner |
2- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68894l |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
661657976 = 23 · 76 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328,-1837] |
[a1,a2,a3,a4,a6] |
Generators |
[23:37:1] |
Generators of the group modulo torsion |
j |
33076161/5624 |
j-invariant |
L |
7.3772902920118 |
L(r)(E,1)/r! |
Ω |
1.1351103625132 |
Real period |
R |
1.083197213647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406e1 |
Quadratic twists by: -7 |