Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
88396k |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-383762611455317248 = -1 · 28 · 711 · 11 · 413 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,122876,24809700] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:4018:1] |
Generators of the group modulo torsion |
j |
6812290634672/12741907717 |
j-invariant |
L |
2.9706626398083 |
L(r)(E,1)/r! |
Ω |
0.20700051815729 |
Real period |
R |
0.79727729696531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12628b1 |
Quadratic twists by: -7 |