Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730n |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
87083295406250 = 2 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13312,379086] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:954:1] |
Generators of the group modulo torsion |
j |
147281603041/49156250 |
j-invariant |
L |
4.7015062803522 |
L(r)(E,1)/r! |
Ω |
0.55756912369379 |
Real period |
R |
1.4053582717558 |
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 |
125840cl2 78650cp2 1430i2 |
Quadratic twists by: -4 5 -11 |