Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248b |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
341681043257344 = 211 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-517891,143448930] |
[a1,a2,a3,a4,a6] |
Generators |
[3634:-11109:8] [407:294:1] |
Generators of the group modulo torsion |
j |
50668941906/1127 |
j-invariant |
L |
8.29976454838 |
L(r)(E,1)/r! |
Ω |
0.49911122383155 |
Real period |
R |
4.1572720428243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624h2 2576h2 |
Quadratic twists by: -4 -23 |