Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312bh |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-8649179136 = -1 · 219 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,383,3551] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-96:1] |
Generators of the group modulo torsion |
j |
23639903/32994 |
j-invariant |
L |
4.6212742588138 |
L(r)(E,1)/r! |
Ω |
0.88188704739925 |
Real period |
R |
0.43668425520778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312cl1 3666j1 |
Quadratic twists by: -4 8 |