Atkin-Lehner |
2+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248h |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-31408024542208 = -1 · 210 · 17 · 715 |
Discriminant |
Eigenvalues |
2+ -2 0 0 3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9953,-471065] |
[a1,a2,a3,a4,a6] |
j |
-106495045024000/30671898967 |
j-invariant |
L |
1.1774053019488 |
L(r)(E,1)/r! |
Ω |
0.23548105643455 |
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 |
77248o1 9656b1 |
Quadratic twists by: -4 8 |