Atkin-Lehner |
3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897n |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
9427968 |
Modular degree for the optimal curve |
Δ |
-1.9920506066729E+22 |
Discriminant |
Eigenvalues |
2 3- -1 7- -2 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6574846,9390313969] |
[a1,a2,a3,a4,a6] |
j |
-1302227927110660096/825290486657091 |
j-invariant |
L |
4.9509000321655 |
L(r)(E,1)/r! |
Ω |
0.11252045590554 |
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 |
4641c1 |
Quadratic twists by: 17 |