Atkin-Lehner |
3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475l |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-55291359375 = -1 · 34 · 56 · 7 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,11592] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:57:1] [-66:981:8] |
Generators of the group modulo torsion |
j |
-338608873/3538647 |
j-invariant |
L |
6.8056738365533 |
L(r)(E,1)/r! |
Ω |
0.95241689935494 |
Real period |
R |
1.7864219548086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425d1 1659b1 |
Quadratic twists by: -3 5 |