Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156be |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-535487980817664 = -1 · 28 · 36 · 76 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15729,-814282] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2842:1] |
Generators of the group modulo torsion |
j |
19600688/24389 |
j-invariant |
L |
6.9302488637099 |
L(r)(E,1)/r! |
Ω |
0.27855345174095 |
Real period |
R |
1.3821901087699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684f2 1044j2 |
Quadratic twists by: -3 -7 |