Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354l |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-174766788 = -1 · 22 · 33 · 7 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,-580] |
[a1,a2,a3,a4,a6] |
Generators |
[15:55:1] |
Generators of the group modulo torsion |
j |
45690734375/174766788 |
j-invariant |
L |
4.9825951561428 |
L(r)(E,1)/r! |
Ω |
0.91683757014805 |
Real period |
R |
2.7172725673415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55062bk1 128478j1 |
Quadratic twists by: -3 -7 |