Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800cd |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-2385720000000000 = -1 · 212 · 33 · 510 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108333,13887963] |
[a1,a2,a3,a4,a6] |
j |
-3515200000/59643 |
j-invariant |
L |
5.5212337478964 |
L(r)(E,1)/r! |
Ω |
0.46010278112648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800bo1 112800n1 |
Quadratic twists by: -4 5 |