Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400r |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
1625000000 = 26 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,3088] |
[a1,a2,a3,a4,a6] |
j |
85184/13 |
j-invariant |
L |
1.4368974115412 |
L(r)(E,1)/r! |
Ω |
1.4368974115412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10400bd1 20800ca1 93600er1 10400bj1 |
Quadratic twists by: -4 8 -3 5 |