Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12300g |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1531811250000 = 24 · 36 · 57 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30033,-1992438] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:27:1] |
Generators of the group modulo torsion |
j |
11983793373184/6127245 |
j-invariant |
L |
2.9547728435099 |
L(r)(E,1)/r! |
Ω |
0.36267030544108 |
Real period |
R |
1.3578783076438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200dq1 36900h1 2460b1 |
Quadratic twists by: -4 -3 5 |