Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680d |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-469822280824000 = -1 · 26 · 53 · 136 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17659,-527209] |
[a1,a2,a3,a4,a6] |
Generators |
[32050736070:-1318822363963:19034163] |
Generators of the group modulo torsion |
j |
9515189988491264/7340973137875 |
j-invariant |
L |
8.6750428659285 |
L(r)(E,1)/r! |
Ω |
0.29321507131206 |
Real period |
R |
14.792968906936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bg2 1495c2 |
Quadratic twists by: -4 8 |