Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768dh |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2348520519499776 = -1 · 220 · 32 · 173 · 373 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75777,8335359] |
[a1,a2,a3,a4,a6] |
Generators |
[159:576:1] |
Generators of the group modulo torsion |
j |
-183570015361537/8958894804 |
j-invariant |
L |
7.6157665627776 |
L(r)(E,1)/r! |
Ω |
0.45497554080888 |
Real period |
R |
2.0923560517548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999383947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768d2 30192l2 |
Quadratic twists by: -4 8 |