Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800he |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1020490422755328000 = -1 · 216 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,250472,5773552] |
[a1,a2,a3,a4,a6] |
j |
28849701763/16941456 |
j-invariant |
L |
1.3458190626732 |
L(r)(E,1)/r! |
Ω |
0.16822738285164 |
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 |
7350bk2 58800jv2 8400co2 |
Quadratic twists by: -4 5 -7 |