Atkin-Lehner |
2- 3- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270bn |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-28005663375360 = -1 · 217 · 36 · 5 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16007,-816001] |
[a1,a2,a3,a4,a6] |
j |
-622157846298409/38416547840 |
j-invariant |
L |
7.1899115902573 |
L(r)(E,1)/r! |
Ω |
0.21146798927031 |
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 |
8030a1 |
Quadratic twists by: -3 |