Atkin-Lehner |
3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37389b |
Isogeny class |
Conductor |
37389 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16095565297647 = 36 · 118 · 103 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67218,-6710571] |
[a1,a2,a3,a4,a6] |
Generators |
[516:9543:1] |
Generators of the group modulo torsion |
j |
18959407629625/9085527 |
j-invariant |
L |
4.3678027197135 |
L(r)(E,1)/r! |
Ω |
0.29651086741267 |
Real period |
R |
2.4551110935815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112167k2 3399a2 |
Quadratic twists by: -3 -11 |