Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496l |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1183488 |
Modular degree for the optimal curve |
Δ |
-1964665998729728 = -1 · 29 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 3 0 7- 0 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60835,-6156502] |
[a1,a2,a3,a4,a6] |
j |
-621000/49 |
j-invariant |
L |
8.1707982274338 |
L(r)(E,1)/r! |
Ω |
0.15131107296896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118496c1 118496i1 |
Quadratic twists by: -4 -23 |