Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088r |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-41311555341056 = -1 · 28 · 72 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2743,-305171] |
[a1,a2,a3,a4,a6] |
Generators |
[57:182:1] [213:3146:1] |
Generators of the group modulo torsion |
j |
5030912/91091 |
j-invariant |
L |
7.7935875250415 |
L(r)(E,1)/r! |
Ω |
0.31366830681649 |
Real period |
R |
0.38822795429026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008b1 |
Quadratic twists by: -11 |