Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870m |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
486958694400 = 224 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20483,1132931] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1522:1] |
Generators of the group modulo torsion |
j |
35198225176082067/18035507200 |
j-invariant |
L |
4.6039644387046 |
L(r)(E,1)/r! |
Ω |
0.91995863512033 |
Real period |
R |
1.8767003195621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30960s1 123840u1 3870d3 19350c1 |
Quadratic twists by: -4 8 -3 5 |