Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834l |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
2589785621514 = 2 · 35 · 75 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 1 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7627,-247585] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:935:8] |
Generators of the group modulo torsion |
j |
49066887527994673/2589785621514 |
j-invariant |
L |
4.7267782128906 |
L(r)(E,1)/r! |
Ω |
0.51254803090955 |
Real period |
R |
3.074039197525 |
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 |
126672cb1 47502h1 110838cr1 |
Quadratic twists by: -4 -3 -7 |