Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
36360j |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-218160 = -1 · 24 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18,37] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-3:1] |
Generators of the group modulo torsion |
j |
-1492992/505 |
j-invariant |
L |
5.595128358612 |
L(r)(E,1)/r! |
Ω |
2.9747376639148 |
Real period |
R |
0.47022031778497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720a1 36360a1 |
Quadratic twists by: -4 -3 |