Atkin-Lehner |
2+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38480a |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
800384000 = 210 · 53 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1576,24576] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:204:1] |
Generators of the group modulo torsion |
j |
423026849956/781625 |
j-invariant |
L |
8.7514419327551 |
L(r)(E,1)/r! |
Ω |
1.5919748975834 |
Real period |
R |
2.748611785914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19240h1 |
Quadratic twists by: -4 |