Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bx |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-195673816800000 = -1 · 28 · 33 · 55 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46321,3880379] |
[a1,a2,a3,a4,a6] |
Generators |
[86:735:1] |
Generators of the group modulo torsion |
j |
-364954448896/6496875 |
j-invariant |
L |
7.3626604098273 |
L(r)(E,1)/r! |
Ω |
0.56650296000708 |
Real period |
R |
2.1661141556101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998976311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680bm1 18480p1 |
Quadratic twists by: -4 -7 |