Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400dp |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-309825000000000 = -1 · 29 · 36 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14325,530750] |
[a1,a2,a3,a4,a6] |
j |
55742968/53125 |
j-invariant |
L |
2.8575228512586 |
L(r)(E,1)/r! |
Ω |
0.35719024449064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400bh1 13600a1 24480n1 |
Quadratic twists by: -4 -3 5 |