Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870l |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
464400 = 24 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,31] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
47832147/17200 |
j-invariant |
L |
4.8819155874413 |
L(r)(E,1)/r! |
Ω |
2.7124100849332 |
Real period |
R |
0.44996105258559 |
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 |
30960r1 123840p1 3870c1 19350a1 |
Quadratic twists by: -4 8 -3 5 |