Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730u |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
157300 = 22 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67856,-6831747] |
[a1,a2,a3,a4,a6] |
Generators |
[-4941792:2454607:32768] |
Generators of the group modulo torsion |
j |
285564033218841289/1300 |
j-invariant |
L |
6.3528339577865 |
L(r)(E,1)/r! |
Ω |
0.29580292052584 |
Real period |
R |
5.3691440457156 |
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 |
125840bi1 78650o1 15730h1 |
Quadratic twists by: -4 5 -11 |