Atkin-Lehner |
3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55419g |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
5.8951507836517E+20 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3436347,-2155962665] |
[a1,a2,a3,a4,a6] |
Generators |
[-1297:11583:1] [-1081:17739:1] |
Generators of the group modulo torsion |
j |
38144008172870940313/5010795487978371 |
j-invariant |
L |
12.207754152338 |
L(r)(E,1)/r! |
Ω |
0.11184715142027 |
Real period |
R |
2.0212362896046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917a2 |
Quadratic twists by: -7 |