Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176i |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-76760027136 = -1 · 212 · 34 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,13311] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:117:1] [-11:120:1] |
Generators of the group modulo torsion |
j |
-247673152/18740241 |
j-invariant |
L |
9.4534333820314 |
L(r)(E,1)/r! |
Ω |
0.89675337957504 |
Real period |
R |
1.3177303812491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176c2 92352ca1 |
Quadratic twists by: -4 8 |