Atkin-Lehner |
2+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52624b |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-901508900864 = -1 · 211 · 112 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 11- 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33736,2374228] |
[a1,a2,a3,a4,a6] |
Generators |
[108:46:1] |
Generators of the group modulo torsion |
j |
-2073420542944658/440189893 |
j-invariant |
L |
5.4710758757032 |
L(r)(E,1)/r! |
Ω |
0.86145787008411 |
Real period |
R |
0.39693437613778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26312a1 |
Quadratic twists by: -4 |