Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730m |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
117411840 = 212 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-619,5846] |
[a1,a2,a3,a4,a6] |
Generators |
[16:2:1] |
Generators of the group modulo torsion |
j |
26168974809769/117411840 |
j-invariant |
L |
2.8097710657865 |
L(r)(E,1)/r! |
Ω |
1.8762617844218 |
Real period |
R |
0.74876839924882 |
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 |
21840y1 87360bo1 8190br1 13650bv1 |
Quadratic twists by: -4 8 -3 5 |