Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bl |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-58327389727200 = -1 · 25 · 39 · 52 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82868,-9168393] |
[a1,a2,a3,a4,a6] |
j |
-86328032428786681/80010136800 |
j-invariant |
L |
2.8137085695329 |
L(r)(E,1)/r! |
Ω |
0.14068542847664 |
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 |
7590f1 113850bb1 |
Quadratic twists by: -3 5 |