Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275m |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
812927016015625 = 58 · 78 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23505,210872] |
[a1,a2,a3,a4,a6] |
j |
781229961/442225 |
j-invariant |
L |
0.86500277352077 |
L(r)(E,1)/r! |
Ω |
0.43250138676039 |
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 |
4655d2 3325g2 |
Quadratic twists by: 5 -7 |