Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018r |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-324384972912 = -1 · 24 · 310 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1584,-13136] |
[a1,a2,a3,a4,a6] |
Generators |
[20:152:1] |
Generators of the group modulo torsion |
j |
602708730623/444972528 |
j-invariant |
L |
4.434109558526 |
L(r)(E,1)/r! |
Ω |
0.54061511683608 |
Real period |
R |
1.0252463861158 |
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 |
6006w1 126126co1 |
Quadratic twists by: -3 -7 |