Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400z |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
13541904000000 = 210 · 39 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11475,438750] |
[a1,a2,a3,a4,a6] |
Generators |
[115:800:1] |
Generators of the group modulo torsion |
j |
530604/43 |
j-invariant |
L |
5.9011063315389 |
L(r)(E,1)/r! |
Ω |
0.69046684492095 |
Real period |
R |
2.1366363844053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400c1 3096a1 |
Quadratic twists by: -3 5 |