Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440s |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
-2617401600000 = -1 · 211 · 37 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1040,-77108] |
[a1,a2,a3,a4,a6] |
j |
60684268318/1278028125 |
j-invariant |
L |
1.9679532714273 |
L(r)(E,1)/r! |
Ω |
0.39359065428546 |
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 |
44880r1 67320l1 112200be1 |
Quadratic twists by: -4 -3 5 |