Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640h |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
3016000 = 26 · 53 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,1711] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:55:1] [10:1:1] |
Generators of the group modulo torsion |
j |
30840979456/47125 |
j-invariant |
L |
8.993007003603 |
L(r)(E,1)/r! |
Ω |
2.5307824856281 |
Real period |
R |
3.5534492022829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640bz1 1885e1 |
Quadratic twists by: -4 8 |