Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58960n |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-32361021440 = -1 · 217 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11- 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,557,-7022] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-134:1] |
Generators of the group modulo torsion |
j |
4665834711/7900640 |
j-invariant |
L |
2.1986949888004 |
L(r)(E,1)/r! |
Ω |
0.61460215759043 |
Real period |
R |
0.89435700867436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370a1 |
Quadratic twists by: -4 |