Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600bj |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-472320000 = -1 · 211 · 32 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,288] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] |
Generators of the group modulo torsion |
j |
608350/369 |
j-invariant |
L |
7.0880773079645 |
L(r)(E,1)/r! |
Ω |
1.0217081868499 |
Real period |
R |
1.1562462092394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200o1 73800bc1 24600f1 |
Quadratic twists by: -4 -3 5 |