Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352c |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1580841142272 = -1 · 211 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-60192] |
[a1,a2,a3,a4,a6] |
j |
207646/6561 |
j-invariant |
L |
1.6301726004867 |
L(r)(E,1)/r! |
Ω |
0.40754315012168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1176i6 9408cz6 7056z6 58800dm5 |
Quadratic twists by: -4 8 -3 5 |