Atkin-Lehner |
3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5871b |
Isogeny class |
Conductor |
5871 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-362422701 = -1 · 33 · 194 · 103 |
Discriminant |
Eigenvalues |
-1 3+ -3 -2 -6 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1217,15860] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:191:1] [16:20:1] |
Generators of the group modulo torsion |
j |
-199350693197713/362422701 |
j-invariant |
L |
2.461884900608 |
L(r)(E,1)/r! |
Ω |
1.7003967877522 |
Real period |
R |
0.36195741463691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93936k1 17613d1 111549d1 |
Quadratic twists by: -4 -3 -19 |