Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450u |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
1369000 = 23 · 53 · 372 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 0 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127,581] |
[a1,a2,a3,a4,a6] |
j |
1329669/8 |
j-invariant |
L |
5.4396898878458 |
L(r)(E,1)/r! |
Ω |
2.7198449432978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bq1 68450bp1 |
Quadratic twists by: 5 37 |