Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8214k |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
71136 |
Modular degree for the optimal curve |
Δ |
-2333045812420608 = -1 · 213 · 3 · 377 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -1 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2025,-2323479] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8009:1] |
Generators of the group modulo torsion |
j |
357911/909312 |
j-invariant |
L |
5.8192240847084 |
L(r)(E,1)/r! |
Ω |
0.21351945879296 |
Real period |
R |
0.52411221023032 |
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 |
65712t1 24642i1 222d1 |
Quadratic twists by: -4 -3 37 |