Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216cd |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
104570195968 = 212 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 0 4 7- -6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14308,658560] |
[a1,a2,a3,a4,a6] |
j |
672221376/217 |
j-invariant |
L |
2.0767644113346 |
L(r)(E,1)/r! |
Ω |
1.0383821233935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bo1 48608e1 13888s1 |
Quadratic twists by: -4 8 -7 |