Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542u |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
7454510508776767488 = 214 · 38 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-511247,-50618347] |
[a1,a2,a3,a4,a6] |
j |
612241204436497/308834353152 |
j-invariant |
L |
5.2713409731526 |
L(r)(E,1)/r! |
Ω |
0.18826217761259 |
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 |
67626k1 1326e1 |
Quadratic twists by: -3 17 |