Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215h |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1058068187134092225 = 32 · 52 · 78 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-318991,-48707716] |
[a1,a2,a3,a4,a6] |
j |
6321363049/1863225 |
j-invariant |
L |
0.82176110663386 |
L(r)(E,1)/r! |
Ω |
0.20544014316884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745t2 9555g2 |
Quadratic twists by: -7 13 |