Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660bs |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-4237867998000 = -1 · 24 · 39 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45192,3699101] |
[a1,a2,a3,a4,a6] |
Generators |
[127:90:1] |
Generators of the group modulo torsion |
j |
-17859315367936/7414875 |
j-invariant |
L |
7.4305314835517 |
L(r)(E,1)/r! |
Ω |
0.76578848086931 |
Real period |
R |
1.6171853488579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220e1 114660r1 |
Quadratic twists by: -3 -7 |