Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160u |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
5512958464000 = 212 · 53 · 135 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 4 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6581,-169475] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:1429:8] |
Generators of the group modulo torsion |
j |
7696715382784/1345937125 |
j-invariant |
L |
2.9821787884503 |
L(r)(E,1)/r! |
Ω |
0.53639833108231 |
Real period |
R |
5.5596347259937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885c1 120640cv1 |
Quadratic twists by: -4 8 |