Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272g |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113920 |
Modular degree for the optimal curve |
Δ |
-18074314752 = -1 · 211 · 3 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 5 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,424,-5388] |
[a1,a2,a3,a4,a6] |
j |
4106451022/8825349 |
j-invariant |
L |
5.1007210756635 |
L(r)(E,1)/r! |
Ω |
0.63759013717541 |
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 |
32136a1 |
Quadratic twists by: -4 |