Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296r |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1268519906304 = 210 · 314 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49971,-4299230] |
[a1,a2,a3,a4,a6] |
Generators |
[354:4730:1] |
Generators of the group modulo torsion |
j |
18486314981572/1699299 |
j-invariant |
L |
3.9468514981935 |
L(r)(E,1)/r! |
Ω |
0.31931729379086 |
Real period |
R |
6.1801405294053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648p3 12432m3 |
Quadratic twists by: -4 -3 |