Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120i |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-60923061449164800 = -1 · 211 · 310 · 52 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111603,18626798] |
[a1,a2,a3,a4,a6] |
j |
-102965999263202/40806020025 |
j-invariant |
L |
1.3167375095869 |
L(r)(E,1)/r! |
Ω |
0.32918437739672 |
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 |
48240p3 8040i4 120600bz3 |
Quadratic twists by: -4 -3 5 |