Atkin-Lehner |
2+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894k |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-148211386624 = -1 · 28 · 77 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 2 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1004,-13488] |
[a1,a2,a3,a4,a6] |
j |
949862087/1259776 |
j-invariant |
L |
4.3925118302397 |
L(r)(E,1)/r! |
Ω |
0.54906398008711 |
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 |
9842c1 |
Quadratic twists by: -7 |