Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497p |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25505214829101 = 37 · 79 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48299,4090398] |
[a1,a2,a3,a4,a6] |
j |
423564751/867 |
j-invariant |
L |
1.3428043515237 |
L(r)(E,1)/r! |
Ω |
0.67140217576185 |
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 |
119952gn2 2499b2 7497g2 127449bm2 |
Quadratic twists by: -4 -3 -7 17 |