Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160p |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
482560 = 28 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] [1:2:1] |
Generators of the group modulo torsion |
j |
4194304/1885 |
j-invariant |
L |
6.0710438650411 |
L(r)(E,1)/r! |
Ω |
2.6492769103224 |
Real period |
R |
1.1457926201272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540b1 120640cz1 |
Quadratic twists by: -4 8 |