Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7395g |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-88898969390625 = -1 · 34 · 56 · 174 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21394,1285217] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1502:1] |
Generators of the group modulo torsion |
j |
-1082855496202633369/88898969390625 |
j-invariant |
L |
5.3589036888133 |
L(r)(E,1)/r! |
Ω |
0.59192558426378 |
Real period |
R |
0.56583376264672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320bg2 22185r2 36975c2 125715o2 |
Quadratic twists by: -4 -3 5 17 |