Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670m |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-165825630 = -1 · 2 · 36 · 5 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 2 -7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,61,596] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-38:1] |
Generators of the group modulo torsion |
j |
25698491351/165825630 |
j-invariant |
L |
4.3619214570565 |
L(r)(E,1)/r! |
Ω |
1.3156616800148 |
Real period |
R |
0.27628185898871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010br1 |
Quadratic twists by: -3 |