Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850u |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
242372675310648750 = 2 · 313 · 54 · 74 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-156800,-3241350] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:4655:1] |
Generators of the group modulo torsion |
j |
682159917625804825/387796280497038 |
j-invariant |
L |
3.5345741222306 |
L(r)(E,1)/r! |
Ω |
0.25921017370591 |
Real period |
R |
0.75755216782342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fo1 38850cp1 |
Quadratic twists by: -3 5 |