Atkin-Lehner |
2- 3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bm |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83564980220620800 = 212 · 34 · 52 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8126480,-8913932928] |
[a1,a2,a3,a4,a6] |
j |
14490094912215885663121/20401606499175 |
j-invariant |
L |
1.4306849292773 |
L(r)(E,1)/r! |
Ω |
0.089417797682514 |
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 |
7755h4 |
Quadratic twists by: -4 |