Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976bf |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-4303176192 = -1 · 29 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,3166] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-54:1] [-3:58:1] |
Generators of the group modulo torsion |
j |
-125000/11529 |
j-invariant |
L |
11.650791631415 |
L(r)(E,1)/r! |
Ω |
1.13747138866 |
Real period |
R |
1.2803389775132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999946401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976m1 40992j1 |
Quadratic twists by: -4 -3 |