Atkin-Lehner |
3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44505l |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
15670685066828625 = 313 · 53 · 23 · 434 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1184477,496438004] |
[a1,a2,a3,a4,a6] |
j |
252101677955410760329/21496138637625 |
j-invariant |
L |
1.1247260067456 |
L(r)(E,1)/r! |
Ω |
0.37490866887508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14835d1 |
Quadratic twists by: -3 |