Atkin-Lehner |
3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
75c |
Isogeny class |
Conductor |
75 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-29296875 = -1 · 3 · 510 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,-1256] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
0.62723492949639 |
L(r)(E,1)/r! |
Ω |
0.62723492949639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1200k2 4800e2 225d2 75a1 |
Quadratic twists by: -4 8 -3 5 |