Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440o |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
14865343934284800 = 210 · 37 · 52 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213576,-37463940] |
[a1,a2,a3,a4,a6] |
j |
1052163263816561956/14516937435825 |
j-invariant |
L |
1.3335989010479 |
L(r)(E,1)/r! |
Ω |
0.22226648350798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880k1 67320p1 112200ba1 |
Quadratic twists by: -4 -3 5 |