Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730u |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
733824000 = 210 · 32 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-230,227] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-449:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
4.1512256172029 |
L(r)(E,1)/r! |
Ω |
1.3957970363436 |
Real period |
R |
0.099136324004941 |
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 |
21840cj1 87360ce1 8190g1 13650bh1 |
Quadratic twists by: -4 8 -3 5 |