Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490r |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
10649349208080 = 24 · 33 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6052,-93056] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:272:1] [84:-32:1] |
Generators of the group modulo torsion |
j |
13841287201/6011280 |
j-invariant |
L |
6.2256968986381 |
L(r)(E,1)/r! |
Ω |
0.56313299981546 |
Real period |
R |
5.527732258922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590u1 |
Quadratic twists by: -11 |