Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600t |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85432320000000 = 217 · 34 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35157408,-80225042688] |
[a1,a2,a3,a4,a6] |
j |
75092108227932529369/1334880 |
j-invariant |
L |
0.49600417355125 |
L(r)(E,1)/r! |
Ω |
0.062000521349548 |
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 |
15450bd3 24720s4 |
Quadratic twists by: -4 5 |