Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928n |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
5747245056 = 220 · 33 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-5840] |
[a1,a2,a3,a4,a6] |
j |
5000211/812 |
j-invariant |
L |
1.88761978287 |
L(r)(E,1)/r! |
Ω |
0.94381050003619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cr1 3654q1 116928s1 |
Quadratic twists by: -4 8 -3 |