Atkin-Lehner |
3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975bb |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-65190825 = -1 · 36 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 3 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-725,-7338] |
[a1,a2,a3,a4,a6] |
j |
-2309449585/3577 |
j-invariant |
L |
1.8401425150174 |
L(r)(E,1)/r! |
Ω |
0.46003571167505 |
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 |
12775g1 114975be1 |
Quadratic twists by: -3 5 |