Atkin-Lehner |
2+ 5+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
95450a |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
794624 |
Modular degree for the optimal curve |
Δ |
-10976750000 = -1 · 24 · 56 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 3 -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-208342,-36550684] |
[a1,a2,a3,a4,a6] |
Generators |
[7115166:224121763:5832] |
Generators of the group modulo torsion |
j |
-64008160346804913/702512 |
j-invariant |
L |
10.29271586249 |
L(r)(E,1)/r! |
Ω |
0.11173140341135 |
Real period |
R |
11.515021253792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818e1 |
Quadratic twists by: 5 |