Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850w |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
47971980000 = 25 · 33 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5875,-175475] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:40:1] |
Generators of the group modulo torsion |
j |
35890772526025/76755168 |
j-invariant |
L |
3.1418356284252 |
L(r)(E,1)/r! |
Ω |
0.54537316402242 |
Real period |
R |
0.48007429219856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fs1 38850cm1 |
Quadratic twists by: -3 5 |