Atkin-Lehner |
2- 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018g |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
3081216 = 210 · 3 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52,-139] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
15568817473/3081216 |
j-invariant |
L |
5.3783274298999 |
L(r)(E,1)/r! |
Ω |
1.8022550949915 |
Real period |
R |
1.1936883840354 |
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 |
48144o1 18054i1 102306v1 |
Quadratic twists by: -4 -3 17 |