Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248h |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-15118950966339584 = -1 · 211 · 76 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 2 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135256,20084492] |
[a1,a2,a3,a4,a6] |
j |
-235298/13 |
j-invariant |
L |
0.77752285524608 |
L(r)(E,1)/r! |
Ω |
0.38876142799381 |
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 |
1352a1 5096j1 |
Quadratic twists by: -7 13 |