Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088g |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2022243967744 = -1 · 28 · 73 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -2 -1 7+ 11- 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-68477] |
[a1,a2,a3,a4,a6] |
Generators |
[51:242:1] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
3.385650763744 |
L(r)(E,1)/r! |
Ω |
0.37599954439532 |
Real period |
R |
1.1255501562953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
728d1 |
Quadratic twists by: -11 |