Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015w |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-184341956658895035 = -1 · 32 · 5 · 73 · 114 · 138 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10322,-20652337] |
[a1,a2,a3,a4,a6] |
Generators |
[3446:62155:8] |
Generators of the group modulo torsion |
j |
121639816754787239/184341956658895035 |
j-invariant |
L |
7.5943503485988 |
L(r)(E,1)/r! |
Ω |
0.14867908521107 |
Real period |
R |
2.1282836390588 |
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 |
45045be3 75075b3 105105d3 |
Quadratic twists by: -3 5 -7 |