Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190be |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
11456640 |
Modular degree for the optimal curve |
Δ |
-3.653315988144E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1467093,-29088656192] |
[a1,a2,a3,a4,a6] |
Generators |
[4004:168975:1] |
Generators of the group modulo torsion |
j |
-428104115567401/447858085284000 |
j-invariant |
L |
5.4247511310393 |
L(r)(E,1)/r! |
Ω |
0.043099039105474 |
Real period |
R |
3.4963083742111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004834 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86190ci1 |
Quadratic twists by: 13 |