Atkin-Lehner |
2- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112240k |
Isogeny class |
Conductor |
112240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-855830000 = -1 · 24 · 54 · 23 · 612 |
Discriminant |
Eigenvalues |
2- -1 5- 2 2 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-890,-10025] |
[a1,a2,a3,a4,a6] |
j |
-4878222774016/53489375 |
j-invariant |
L |
3.4937160256266 |
L(r)(E,1)/r! |
Ω |
0.43671453120702 |
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 |
28060b1 |
Quadratic twists by: -4 |