Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402bi |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-18746658502 = -1 · 2 · 117 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 -1 11- 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,663,749] |
[a1,a2,a3,a4,a6] |
Generators |
[10868418:149270243:54872] |
Generators of the group modulo torsion |
j |
18191447/10582 |
j-invariant |
L |
18.624895523912 |
L(r)(E,1)/r! |
Ω |
0.73743602328539 |
Real period |
R |
12.628143250043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582b1 |
Quadratic twists by: -11 |