Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
336a |
Isogeny class |
Conductor |
336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5647152 = -1 · 24 · 3 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,516] |
[a1,a2,a3,a4,a6] |
j |
-10061824000/352947 |
j-invariant |
L |
1.1949390886861 |
L(r)(E,1)/r! |
Ω |
2.3898781773722 |
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 |
84a3 1344p3 1008j3 8400ci3 |
Quadratic twists by: -4 8 -3 5 |