Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fp |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2341011456000 = -1 · 219 · 36 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,-58646] |
[a1,a2,a3,a4,a6] |
Generators |
[23:90:1] |
Generators of the group modulo torsion |
j |
10100279/16000 |
j-invariant |
L |
6.5631003459875 |
L(r)(E,1)/r! |
Ω |
0.43173156955479 |
Real period |
R |
1.2668173175205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4410bl1 3920x1 35280dt1 |
Quadratic twists by: -4 -3 -7 |