Atkin-Lehner |
3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983a |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-27318450663567 = -1 · 38 · 7 · 296 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7411,52260] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
0.81951843891021 |
L(r)(E,1)/r! |
Ω |
0.40975921957819 |
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 |
17661a1 63a1 |
Quadratic twists by: -3 29 |