Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bn |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
2016 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1.0211234566113E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8352155,-9163250223] |
[a1,a2,a3,a4,a6] |
Generators |
[-1586:-8927:1] |
Generators of the group modulo torsion |
j |
64434631864162217241795121/1021123456611287040000 |
j-invariant |
L |
10.746076947629 |
L(r)(E,1)/r! |
Ω |
0.088892899304106 |
Real period |
R |
0.23985696734171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110r1 |
Quadratic twists by: -3 |