Atkin-Lehner |
5+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18445a |
Isogeny class |
Conductor |
18445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
124079515 = 5 · 72 · 17 · 313 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -6 3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-724,7411] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:32:1] [41:196:1] |
Generators of the group modulo torsion |
j |
41886766402489/124079515 |
j-invariant |
L |
8.9257408165345 |
L(r)(E,1)/r! |
Ω |
1.8649716795717 |
Real period |
R |
0.79766544753329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92225c1 129115x1 |
Quadratic twists by: 5 -7 |