Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350ce |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-15264972800 = -1 · 216 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11+ -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,450,4557] |
[a1,a2,a3,a4,a6] |
Generators |
[25:163:1] |
Generators of the group modulo torsion |
j |
303492285/458752 |
j-invariant |
L |
4.552783854349 |
L(r)(E,1)/r! |
Ω |
0.84552243293885 |
Real period |
R |
0.16826814985107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350be1 42350c1 |
Quadratic twists by: 5 -11 |