Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6018i |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-1780942848 = -1 · 211 · 3 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -2 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22,2039] |
[a1,a2,a3,a4,a6] |
Generators |
[41:251:1] |
Generators of the group modulo torsion |
j |
1174241375/1780942848 |
j-invariant |
L |
5.3709691628883 |
L(r)(E,1)/r! |
Ω |
1.1655151125647 |
Real period |
R |
0.13964352717958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48144r1 18054d1 102306s1 |
Quadratic twists by: -4 -3 17 |