Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-20329747200 = -1 · 28 · 33 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,-9183] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2402:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
4.2080865745954 |
L(r)(E,1)/r! |
Ω |
0.45861342000585 |
Real period |
R |
4.5878362810691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bl1 58800ki1 1200o1 |
Quadratic twists by: -4 5 -7 |