Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800br |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-7084800 = -1 · 28 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[16:54:1] |
Generators of the group modulo torsion |
j |
-138240/41 |
j-invariant |
L |
6.0364767670253 |
L(r)(E,1)/r! |
Ω |
0.84478373298975 |
Real period |
R |
1.786397077278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800a1 73800k1 |
Quadratic twists by: -3 5 |