Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630bj |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3381501838275000000 = 26 · 38 · 58 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-464558,-83702019] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:2847:1] |
Generators of the group modulo torsion |
j |
15209507008787085721/4638548475000000 |
j-invariant |
L |
8.3410073797867 |
L(r)(E,1)/r! |
Ω |
0.18720521891564 |
Real period |
R |
1.8564758833697 |
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 |
12210h4 |
Quadratic twists by: -3 |