Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648k |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5365253376 = 28 · 37 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,13970] |
[a1,a2,a3,a4,a6] |
Generators |
[23:20:1] |
Generators of the group modulo torsion |
j |
830321872/28749 |
j-invariant |
L |
6.1578449721531 |
L(r)(E,1)/r! |
Ω |
1.3487473740559 |
Real period |
R |
2.2828014684602 |
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 |
37296j2 6216o2 |
Quadratic twists by: -4 -3 |