Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bv |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
422051840000 = 222 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348,30672] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:200:1] [44:112:1] |
Generators of the group modulo torsion |
j |
5461074081/1610000 |
j-invariant |
L |
8.916044247013 |
L(r)(E,1)/r! |
Ω |
0.8763883356137 |
Real period |
R |
5.0868113396164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520c1 12880y1 |
Quadratic twists by: -4 8 |