Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976j |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
689046087744 = 26 · 310 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11541,475540] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:756:1] [-63:976:1] |
Generators of the group modulo torsion |
j |
3643732891072/14768649 |
j-invariant |
L |
9.1347188280999 |
L(r)(E,1)/r! |
Ω |
0.91020893245658 |
Real period |
R |
5.0179241809058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004816 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122976bk1 40992q1 |
Quadratic twists by: -4 -3 |