Atkin-Lehner |
2- 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270u |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1017600 |
Modular degree for the optimal curve |
Δ |
-67318568380800000 = -1 · 210 · 39 · 55 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,93472,-5926013] |
[a1,a2,a3,a4,a6] |
j |
4588612473819717/3420137600000 |
j-invariant |
L |
3.8932630763709 |
L(r)(E,1)/r! |
Ω |
0.19466315496392 |
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 |
72270e1 |
Quadratic twists by: -3 |