Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300d |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-272377200 = -1 · 24 · 3 · 52 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278,-1863] |
[a1,a2,a3,a4,a6] |
Generators |
[36:183:1] |
Generators of the group modulo torsion |
j |
-5961552640/680943 |
j-invariant |
L |
3.2119427521657 |
L(r)(E,1)/r! |
Ω |
0.58069266213148 |
Real period |
R |
0.61458074346667 |
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 |
73200cq2 54900r2 18300n2 |
Quadratic twists by: -4 -3 5 |