Atkin-Lehner |
2+ 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266u |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
19612601270756928 = 26 · 318 · 7 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165807,25139565] |
[a1,a2,a3,a4,a6] |
j |
691522382970672625/26903431098432 |
j-invariant |
L |
0.76431258774273 |
L(r)(E,1)/r! |
Ω |
0.38215629393898 |
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 |
16422ba1 |
Quadratic twists by: -3 |