Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22365n |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17760 |
Modular degree for the optimal curve |
Δ |
-128621115 = -1 · 36 · 5 · 7 · 712 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 5 -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507,-4428] |
[a1,a2,a3,a4,a6] |
j |
-19770609664/176435 |
j-invariant |
L |
1.0055793029795 |
L(r)(E,1)/r! |
Ω |
0.50278965148972 |
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 |
2485a1 111825j1 |
Quadratic twists by: -3 5 |