Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870n |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
190218240000 = 218 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2192,-32909] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:49:1] |
Generators of the group modulo torsion |
j |
43121696645763/7045120000 |
j-invariant |
L |
5.2018689215331 |
L(r)(E,1)/r! |
Ω |
0.70548331896998 |
Real period |
R |
0.20481895892655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960z1 123840k1 3870a1 19350f1 |
Quadratic twists by: -4 8 -3 5 |