Atkin-Lehner |
2+ 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270m |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1689918607080 = -1 · 23 · 314 · 5 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2970,4860] |
[a1,a2,a3,a4,a6] |
j |
3973592034719/2318132520 |
j-invariant |
L |
2.0318989154549 |
L(r)(E,1)/r! |
Ω |
0.50797472861325 |
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 |
24090m1 |
Quadratic twists by: -3 |