Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268s |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-278645207452416 = -1 · 28 · 36 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16464,-1142876] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3087:1] |
Generators of the group modulo torsion |
j |
-65536/37 |
j-invariant |
L |
4.3520636618077 |
L(r)(E,1)/r! |
Ω |
0.20536580619219 |
Real period |
R |
1.7659803185747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7252c1 65268r1 |
Quadratic twists by: -3 -7 |