Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720c |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
49497350400 = 28 · 36 · 52 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3716,-87780] |
[a1,a2,a3,a4,a6] |
j |
22173167055184/193349025 |
j-invariant |
L |
1.8353573300307 |
L(r)(E,1)/r! |
Ω |
0.61178577667697 |
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 |
12360e2 98880bh2 74160o2 123600d2 |
Quadratic twists by: -4 8 -3 5 |