Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400ba |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-42700000000 = -1 · 28 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 0 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,100437] |
[a1,a2,a3,a4,a6] |
j |
-1814078464/10675 |
j-invariant |
L |
4.5931375247131 |
L(r)(E,1)/r! |
Ω |
1.1482843855351 |
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 |
17080a1 |
Quadratic twists by: 5 |