Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362o |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-56706193381916672 = -1 · 219 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ 1 2 -3 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98200,-16487066] |
[a1,a2,a3,a4,a6] |
Generators |
[15008426157934:962206266526627:3574558889] |
Generators of the group modulo torsion |
j |
-18396908233/9961472 |
j-invariant |
L |
5.2891960117226 |
L(r)(E,1)/r! |
Ω |
0.13152188656625 |
Real period |
R |
20.107664776608 |
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 |
87362bk1 4598o1 |
Quadratic twists by: -11 -19 |