Atkin-Lehner |
2+ 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bn |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-1951796910000000 = -1 · 27 · 3 · 57 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31187,-152344] |
[a1,a2,a3,a4,a6] |
j |
28515191374151/16590000000 |
j-invariant |
L |
3.867482977367 |
L(r)(E,1)/r! |
Ω |
0.27624887062158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590c1 |
Quadratic twists by: -7 |