Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dh |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-7799914108224 = -1 · 26 · 36 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 7 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4797,-41256] |
[a1,a2,a3,a4,a6] |
Generators |
[1972840:22915144:50653] |
Generators of the group modulo torsion |
j |
261652787136/167179229 |
j-invariant |
L |
6.652110118648 |
L(r)(E,1)/r! |
Ω |
0.42420928770418 |
Real period |
R |
7.8405992876847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928ed1 58464z1 12992bg1 |
Quadratic twists by: -4 8 -3 |