Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384b |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-999028676931584 = -1 · 212 · 139 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 1 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53629,-5034197] |
[a1,a2,a3,a4,a6] |
Generators |
[359106:608569:1331] |
Generators of the group modulo torsion |
j |
-862801408/50531 |
j-invariant |
L |
7.8937820548874 |
L(r)(E,1)/r! |
Ω |
0.15633149405568 |
Real period |
R |
6.3117336735224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384p1 9568j1 |
Quadratic twists by: -4 13 |