Atkin-Lehner |
2- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77452b |
Isogeny class |
Conductor |
77452 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-414007583488 = -1 · 28 · 176 · 67 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 4 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,771,-29585] |
[a1,a2,a3,a4,a6] |
j |
8192/67 |
j-invariant |
L |
0.46880056542946 |
L(r)(E,1)/r! |
Ω |
0.46880059316215 |
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 |
268a1 |
Quadratic twists by: 17 |