Atkin-Lehner |
2- 3+ 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bn |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
7005415032 = 23 · 33 · 7 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1192580,501576815] |
[a1,a2,a3,a4,a6] |
j |
6947397882532847671875/259459816 |
j-invariant |
L |
2.8436544516695 |
L(r)(E,1)/r! |
Ω |
0.71091362330709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81774f4 |
Quadratic twists by: -3 |