Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300j |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-306125740800 = -1 · 28 · 33 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1613,37017] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:242:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
4.5515319787898 |
L(r)(E,1)/r! |
Ω |
0.89491251189112 |
Real period |
R |
0.84766795977476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900bv1 36300cg1 300a1 |
Quadratic twists by: -3 5 -11 |