Atkin-Lehner |
2- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
77168o |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-9421999663218688 = -1 · 224 · 7 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 7- -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48552,-2219536] |
[a1,a2,a3,a4,a6] |
j |
3090126031886375/2300292886528 |
j-invariant |
L |
0.91744110729834 |
L(r)(E,1)/r! |
Ω |
0.2293602966875 |
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 |
9646b1 |
Quadratic twists by: -4 |