Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128316g |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-25500821821814016 = -1 · 28 · 38 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -5 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139972,21524324] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-1734:1] |
Generators of the group modulo torsion |
j |
-49081386832/4126869 |
j-invariant |
L |
5.415986734745 |
L(r)(E,1)/r! |
Ω |
0.36918499959802 |
Real period |
R |
0.15281370566883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548c1 |
Quadratic twists by: 17 |