Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712s |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8092752661833984 = -1 · 28 · 32 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48828,-1235700] |
[a1,a2,a3,a4,a6] |
j |
19600688/12321 |
j-invariant |
L |
4.2955742561571 |
L(r)(E,1)/r! |
Ω |
0.238643014458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16428d2 1776e2 |
Quadratic twists by: -4 37 |