Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520c |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8678155968000 = 29 · 39 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36747,-2707614] |
[a1,a2,a3,a4,a6] |
j |
544537918296/861125 |
j-invariant |
L |
4.1382491076073 |
L(r)(E,1)/r! |
Ω |
0.3448540501166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520n2 119520l2 |
Quadratic twists by: -4 -3 |