Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850by |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2380009857750000 = -1 · 24 · 37 · 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30712,1116281] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1697:1] |
Generators of the group modulo torsion |
j |
205034573717063/152320630896 |
j-invariant |
L |
7.685453771814 |
L(r)(E,1)/r! |
Ω |
0.29324342144477 |
Real period |
R |
3.2760554925453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550bl1 1554e1 |
Quadratic twists by: -3 5 |