Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664t |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
61311867158528 = 220 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12299,-365638] |
[a1,a2,a3,a4,a6] |
j |
426957777/127232 |
j-invariant |
L |
3.7101667251335 |
L(r)(E,1)/r! |
Ω |
0.46377084085528 |
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 |
6958k1 7952d1 |
Quadratic twists by: -4 -7 |