Atkin-Lehner |
2- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15580a |
Isogeny class |
Conductor |
15580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
30342050000 = 24 · 55 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1301,-15574] |
[a1,a2,a3,a4,a6] |
Generators |
[22098:631180:27] |
Generators of the group modulo torsion |
j |
15232437059584/1896378125 |
j-invariant |
L |
5.9755951098318 |
L(r)(E,1)/r! |
Ω |
0.8013781075541 |
Real period |
R |
7.4566488072278 |
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 |
62320p1 77900b1 |
Quadratic twists by: -4 5 |