Atkin-Lehner |
2- 5- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120080j |
Isogeny class |
Conductor |
120080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-29203456000000 = -1 · 216 · 56 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6840,-144400] |
[a1,a2,a3,a4,a6] |
j |
8639101458359/7129750000 |
j-invariant |
L |
4.4029008964188 |
L(r)(E,1)/r! |
Ω |
0.36690844399768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15010b1 |
Quadratic twists by: -4 |