Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894t |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-118986472563933184 = -1 · 222 · 79 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 4 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240836,-48524603] |
[a1,a2,a3,a4,a6] |
j |
-38282975119927/2948595712 |
j-invariant |
L |
4.7203709614351 |
L(r)(E,1)/r! |
Ω |
0.10728115889735 |
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 |
68894bc1 |
Quadratic twists by: -7 |