Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32480d |
Isogeny class |
Conductor |
32480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
2273600 = 26 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
220348864/35525 |
j-invariant |
L |
3.9821440809527 |
L(r)(E,1)/r! |
Ω |
2.4795398051216 |
Real period |
R |
0.80300063599051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32480b1 64960bk2 |
Quadratic twists by: -4 8 |