Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-47989544610889728 = -1 · 216 · 310 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120972,19322480] |
[a1,a2,a3,a4,a6] |
j |
-4097989445764/1004475087 |
j-invariant |
L |
1.3632138685238 |
L(r)(E,1)/r! |
Ω |
0.34080346718965 |
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 |
44352fc1 5544r1 14784l1 |
Quadratic twists by: -4 8 -3 |