Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650cc |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
792148896000 = 28 · 38 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4257,-96899] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:799:8] [-37:113:1] |
Generators of the group modulo torsion |
j |
93638512421/8692992 |
j-invariant |
L |
6.6025440633772 |
L(r)(E,1)/r! |
Ω |
0.59455788655059 |
Real period |
R |
0.92541368591289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cc1 34650dw1 |
Quadratic twists by: -3 5 |