Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926c |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
5709998205886464 = 213 · 39 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 6 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47049,1499021] |
[a1,a2,a3,a4,a6] |
Generators |
[205:559:1] |
Generators of the group modulo torsion |
j |
4973940243/2465792 |
j-invariant |
L |
4.6420296749254 |
L(r)(E,1)/r! |
Ω |
0.37868249696753 |
Real period |
R |
1.5322960897646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37926bd1 5418a1 |
Quadratic twists by: -3 -7 |