Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bj |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-46109250 = -1 · 2 · 36 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -6 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67,231] |
[a1,a2,a3,a4,a6] |
j |
46268279/63250 |
j-invariant |
L |
2.7243558839573 |
L(r)(E,1)/r! |
Ω |
1.3621779419787 |
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 |
2530d1 113850w1 |
Quadratic twists by: -3 5 |