Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bg |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-1867795524000000000 = -1 · 211 · 34 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,118799,-63827452] |
[a1,a2,a3,a4,a6] |
Generators |
[502:10811:1] |
Generators of the group modulo torsion |
j |
16468459/165888 |
j-invariant |
L |
3.5928726984805 |
L(r)(E,1)/r! |
Ω |
0.13006582550788 |
Real period |
R |
3.4529368921957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800gq1 22050fd1 7350bz1 7350r1 |
Quadratic twists by: -4 -3 5 -7 |