Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400bh |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7220000000000000 = 214 · 513 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41666033,103533193937] |
[a1,a2,a3,a4,a6] |
j |
31248575021659890256/28203125 |
j-invariant |
L |
4.721198997431 |
L(r)(E,1)/r! |
Ω |
0.26228883319074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400q2 7600f2 6080n2 |
Quadratic twists by: -4 8 5 |