Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018s |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-417404988 = -1 · 22 · 36 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,156,-676] |
[a1,a2,a3,a4,a6] |
Generators |
[13:52:1] |
Generators of the group modulo torsion |
j |
573856191/572572 |
j-invariant |
L |
2.4607536788659 |
L(r)(E,1)/r! |
Ω |
0.91382898747187 |
Real period |
R |
0.67319862704117 |
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 |
2002c1 126126cu1 |
Quadratic twists by: -3 -7 |