Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837q |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-88445874699 = -1 · 36 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-393186,-94895406] |
[a1,a2,a3,a4,a6] |
Generators |
[1602:58194:1] |
Generators of the group modulo torsion |
j |
-9221261135586623488/121324931 |
j-invariant |
L |
5.0485875252737 |
L(r)(E,1)/r! |
Ω |
0.095327904673132 |
Real period |
R |
4.4133522975116 |
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 |
2093g1 |
Quadratic twists by: -3 |