Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dg |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-11590270465277952 = -1 · 216 · 36 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76620,9667856] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1440:1] |
Generators of the group modulo torsion |
j |
-1041220466500/242597383 |
j-invariant |
L |
5.6575961655226 |
L(r)(E,1)/r! |
Ω |
0.38421176767301 |
Real period |
R |
3.6813006613943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bx1 29232f1 12992bc1 |
Quadratic twists by: -4 8 -3 |