Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648j |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
246656648448 = 28 · 312 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86943,-9867310] |
[a1,a2,a3,a4,a6] |
Generators |
[47195:416988:125] |
Generators of the group modulo torsion |
j |
389457510402256/1321677 |
j-invariant |
L |
6.7673558948354 |
L(r)(E,1)/r! |
Ω |
0.27802956979887 |
Real period |
R |
6.0851044546549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296bh2 6216n2 |
Quadratic twists by: -4 -3 |