Atkin-Lehner |
2- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162ba |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-1561970672516268784 = -1 · 24 · 78 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-952594,-362635647] |
[a1,a2,a3,a4,a6] |
j |
-812565856976372577/13276531653616 |
j-invariant |
L |
4.8854118542955 |
L(r)(E,1)/r! |
Ω |
0.076334561222251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166l1 |
Quadratic twists by: -7 |