Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120d |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
31322869760 = 212 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1001,9065] |
[a1,a2,a3,a4,a6] |
j |
27108144064/7647185 |
j-invariant |
L |
2.1827245641938 |
L(r)(E,1)/r! |
Ω |
1.0913622820972 |
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 |
29120k1 14560e1 |
Quadratic twists by: -4 8 |