Atkin-Lehner |
2+ 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150j |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46848 |
Modular degree for the optimal curve |
Δ |
-144155700 = -1 · 22 · 34 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130,760] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] [-6:40:1] |
Generators of the group modulo torsion |
j |
-9836106385/5766228 |
j-invariant |
L |
5.6711094020008 |
L(r)(E,1)/r! |
Ω |
1.7010844960428 |
Real period |
R |
0.41672749172176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150db1 |
Quadratic twists by: 5 |