Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878v |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27048 |
Modular degree for the optimal curve |
Δ |
-932963864238 = -1 · 2 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,53801] |
[a1,a2,a3,a4,a6] |
j |
-105484561/161838 |
j-invariant |
L |
0.79311866691009 |
L(r)(E,1)/r! |
Ω |
0.79311866691009 |
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 |
87024da1 32634k1 10878bs1 |
Quadratic twists by: -4 -3 -7 |