Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gf |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-588349440 = -1 · 215 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-3265] |
[a1,a2,a3,a4,a6] |
Generators |
[23:24:1] |
Generators of the group modulo torsion |
j |
-193100552/17955 |
j-invariant |
L |
8.0989303375464 |
L(r)(E,1)/r! |
Ω |
0.53594309716075 |
Real period |
R |
1.2592957378692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680er1 63840be1 |
Quadratic twists by: -4 8 |