Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730c |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
157300 = 22 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
2259169/1300 |
j-invariant |
L |
3.8175632758693 |
L(r)(E,1)/r! |
Ω |
2.7086744622736 |
Real period |
R |
0.35234607637797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bh1 78650ci1 15730v1 |
Quadratic twists by: -4 5 -11 |