Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450i |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-51750000 = -1 · 24 · 32 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,248] |
[a1,a2,a3,a4,a6] |
Generators |
[1:17:1] |
Generators of the group modulo torsion |
j |
2924207/3312 |
j-invariant |
L |
3.10109324268 |
L(r)(E,1)/r! |
Ω |
1.3306668521554 |
Real period |
R |
1.1652402844697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600be1 110400v1 10350bg1 138c1 |
Quadratic twists by: -4 8 -3 5 |