Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103155h |
Isogeny class |
Conductor |
103155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3608374794375 = 3 · 54 · 13 · 236 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68770011,219500450466] |
[a1,a2,a3,a4,a6] |
Generators |
[23398:1654651:8] [325460:2143181:64] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
8.3898515108702 |
L(r)(E,1)/r! |
Ω |
0.30737450026799 |
Real period |
R |
13.647604963005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
195a7 |
Quadratic twists by: -23 |