Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300d |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-658800 = -1 · 24 · 33 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
2812160/1647 |
j-invariant |
L |
3.2119427521657 |
L(r)(E,1)/r! |
Ω |
1.7420779863945 |
Real period |
R |
1.8437422304 |
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 |
73200cq1 54900r1 18300n1 |
Quadratic twists by: -4 -3 5 |