Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bh |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
114414149567025 = 38 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24705,1409400] |
[a1,a2,a3,a4,a6] |
j |
19443408769/1334025 |
j-invariant |
L |
2.3211961410378 |
L(r)(E,1)/r! |
Ω |
0.58029903525944 |
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 |
8085w2 121275eo2 3465p2 |
Quadratic twists by: -3 5 -7 |