Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600i |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-992000000000 = -1 · 214 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 2 -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,69437] |
[a1,a2,a3,a4,a6] |
Generators |
[52:275:1] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
4.2172687702311 |
L(r)(E,1)/r! |
Ω |
0.81618718157891 |
Real period |
R |
2.5835181349293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600cf1 6200a1 9920c1 |
Quadratic twists by: -4 8 5 |