Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bj |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
31972713740352 = 26 · 39 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132962,18692385] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-12009:1] |
Generators of the group modulo torsion |
j |
356595401944553689/43858317888 |
j-invariant |
L |
5.6321292176646 |
L(r)(E,1)/r! |
Ω |
0.6331261897767 |
Real period |
R |
0.18532802348497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322b1 |
Quadratic twists by: -3 |