Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730s |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
16511040 = 26 · 34 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-91,233] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
83396175409/16511040 |
j-invariant |
L |
3.8095340498578 |
L(r)(E,1)/r! |
Ω |
2.0842215599422 |
Real period |
R |
0.30463284414954 |
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 |
21840bz1 87360cu1 8190r1 13650bc1 |
Quadratic twists by: -4 8 -3 5 |