Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730i |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-46780282656250000 = -1 · 24 · 510 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92083,14927037] |
[a1,a2,a3,a4,a6] |
Generators |
[6666:540417:1] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
5.4659570484927 |
L(r)(E,1)/r! |
Ω |
0.3331102877041 |
Real period |
R |
4.1022127282271 |
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 |
125840ca2 78650by2 130c2 |
Quadratic twists by: -4 5 -11 |