Atkin-Lehner |
3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
63495k |
Isogeny class |
Conductor |
63495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2733251549895 = -1 · 318 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864,-79925] |
[a1,a2,a3,a4,a6] |
Generators |
[1228047474880624:-52585256463600521:685195882496] |
Generators of the group modulo torsion |
j |
-97908438529/3749316255 |
j-invariant |
L |
7.5031775294923 |
L(r)(E,1)/r! |
Ω |
0.35257810444065 |
Real period |
R |
21.280894745403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21165a1 |
Quadratic twists by: -3 |