Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144t |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-555134976 = -1 · 212 · 32 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,1209] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
-19248832/135531 |
j-invariant |
L |
4.4864749762059 |
L(r)(E,1)/r! |
Ω |
1.4102185952368 |
Real period |
R |
1.5907019638727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bg2 39072m1 |
Quadratic twists by: -4 8 |