Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730k |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
2.6842037354496E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-138890144,630009263342] |
[a1,a2,a3,a4,a6] |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
1.165913482582 |
L(r)(E,1)/r! |
Ω |
0.14573918532275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840bh1 87360z1 8190bm1 13650bz1 |
Quadratic twists by: -4 8 -3 5 |