Atkin-Lehner |
3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18207c |
Isogeny class |
Conductor |
18207 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
1744267220849727 = 36 · 73 · 178 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 0 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30399,359954] |
[a1,a2,a3,a4,a6] |
Generators |
[506:10440:1] |
Generators of the group modulo torsion |
j |
610929/343 |
j-invariant |
L |
3.1504158024011 |
L(r)(E,1)/r! |
Ω |
0.40713390571101 |
Real period |
R |
2.579344500838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2023a1 127449bv1 18207f1 |
Quadratic twists by: -3 -7 17 |