Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100bb |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-32907638643750000 = -1 · 24 · 310 · 58 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2754258,-1760301387] |
[a1,a2,a3,a4,a6] |
j |
-9242675799865044736/131630554575 |
j-invariant |
L |
1.1719201215791 |
L(r)(E,1)/r! |
Ω |
0.058596006685926 |
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 |
14820d1 |
Quadratic twists by: 5 |