Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290y |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-980828238855150 = -1 · 2 · 310 · 52 · 7 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5175,1498675] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:809:1] [-37:1139:1] |
Generators of the group modulo torsion |
j |
21022290802799/1345443400350 |
j-invariant |
L |
7.1068315579985 |
L(r)(E,1)/r! |
Ω |
0.37703384460532 |
Real period |
R |
2.3561649901213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430z4 |
Quadratic twists by: -3 |