Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138m |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.2236716421992E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7595649,-8067315299] |
[a1,a2,a3,a4,a6] |
Generators |
[15788324860:1013991206563:2744000] |
Generators of the group modulo torsion |
j |
-4582567781/7776 |
j-invariant |
L |
4.0963757847602 |
L(r)(E,1)/r! |
Ω |
0.045465729685153 |
Real period |
R |
11.26226229384 |
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 |
121104cr2 5046k2 15138bd2 |
Quadratic twists by: -4 -3 29 |