Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bf |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-14337835312500 = -1 · 22 · 311 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5974,40448] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-2099:1] |
Generators of the group modulo torsion |
j |
1509398240111/917621460 |
j-invariant |
L |
4.3143296092169 |
L(r)(E,1)/r! |
Ω |
0.43262000382439 |
Real period |
R |
0.11332456289265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ei1 7770n1 |
Quadratic twists by: -3 5 |