Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340n |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-259888500000000 = -1 · 28 · 36 · 59 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5577,758878] |
[a1,a2,a3,a4,a6] |
Generators |
[1988:62775:64] |
Generators of the group modulo torsion |
j |
102791724464/1392578125 |
j-invariant |
L |
5.4869445595189 |
L(r)(E,1)/r! |
Ω |
0.40916273564758 |
Real period |
R |
6.7050885923403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995937927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260c1 |
Quadratic twists by: -3 |