Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640w |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-37654757763840 = -1 · 28 · 36 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53508,4773188] |
[a1,a2,a3,a4,a6] |
Generators |
[98:686:1] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
4.5552951355348 |
L(r)(E,1)/r! |
Ω |
0.65030819793941 |
Real period |
R |
0.87560312748034 |
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 |
35280bu1 1960m1 88200hi1 17640bk1 |
Quadratic twists by: -4 -3 5 -7 |