Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200h |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-24768000000 = -1 · 212 · 32 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,8037] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:100:1] [3:84:1] |
Generators of the group modulo torsion |
j |
-64000/387 |
j-invariant |
L |
9.388579901669 |
L(r)(E,1)/r! |
Ω |
1.0314658712491 |
Real period |
R |
1.1377715156723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200s1 4128m1 |
Quadratic twists by: -4 5 |