Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cd |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-3580373781075 = -1 · 3 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8003,287564] |
[a1,a2,a3,a4,a6] |
Generators |
[24:331:1] |
Generators of the group modulo torsion |
j |
-8028160/507 |
j-invariant |
L |
4.6496078521616 |
L(r)(E,1)/r! |
Ω |
0.77762156533125 |
Real period |
R |
2.989634071033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bn1 47775g1 |
Quadratic twists by: 5 -7 |