Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140o |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-135399968000 = -1 · 28 · 53 · 114 · 172 |
Discriminant |
Eigenvalues |
2- -3 5- -5 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-847,20086] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:110:1] [55:374:1] |
Generators of the group modulo torsion |
j |
-17929296/36125 |
j-invariant |
L |
5.1947786205995 |
L(r)(E,1)/r! |
Ω |
0.92352151804601 |
Real period |
R |
0.10416606674062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140r1 |
Quadratic twists by: -11 |