Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bv |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1138368 = -1 · 26 · 3 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1163,-15751] |
[a1,a2,a3,a4,a6] |
j |
-29343015625/192 |
j-invariant |
L |
2.4525832917703 |
L(r)(E,1)/r! |
Ω |
0.40876388196078 |
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 |
106722cl2 35574cj2 35574h2 |
Quadratic twists by: -3 -7 -11 |