Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648b |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3239159055439104 = 28 · 39 · 73 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37071,222210] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6004:1] |
Generators of the group modulo torsion |
j |
1118137874544/642837223 |
j-invariant |
L |
4.1342529939905 |
L(r)(E,1)/r! |
Ω |
0.38214599715202 |
Real period |
R |
5.4092585357448 |
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 |
37296d2 18648r2 |
Quadratic twists by: -4 -3 |