Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450br |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1086912 |
Modular degree for the optimal curve |
Δ |
-1299617397950770000 = -1 · 24 · 54 · 379 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -6 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79145,-54194753] |
[a1,a2,a3,a4,a6] |
j |
675/16 |
j-invariant |
L |
3.1596592237386 |
L(r)(E,1)/r! |
Ω |
0.13165246705477 |
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 |
68450n1 68450w1 |
Quadratic twists by: 5 37 |