Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22365c |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-31770572995035 = -1 · 36 · 5 · 73 · 714 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -1 -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6792,-164696] |
[a1,a2,a3,a4,a6] |
j |
47532342247424/43581032915 |
j-invariant |
L |
0.72143694866397 |
L(r)(E,1)/r! |
Ω |
0.36071847433199 |
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 |
2485c1 111825q1 |
Quadratic twists by: -3 5 |