Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100k |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3126093750000 = -1 · 24 · 34 · 510 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2242,-75363] |
[a1,a2,a3,a4,a6] |
j |
4983067904/12504375 |
j-invariant |
L |
1.648562523922 |
L(r)(E,1)/r! |
Ω |
0.41214063332043 |
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 |
14820g1 |
Quadratic twists by: 5 |