Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296br |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3806208 = 210 · 32 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4957,135997] |
[a1,a2,a3,a4,a6] |
j |
13157340731392/3717 |
j-invariant |
L |
1.99104064237 |
L(r)(E,1)/r! |
Ω |
1.9910406622018 |
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 |
79296q1 19824k1 |
Quadratic twists by: -4 8 |