Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180o |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
577979010000 = 24 · 33 · 54 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3745,-81532] |
[a1,a2,a3,a4,a6] |
j |
363140892737536/36123688125 |
j-invariant |
L |
3.6851141171757 |
L(r)(E,1)/r! |
Ω |
0.61418568619577 |
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 |
99540f1 |
Quadratic twists by: -3 |