Atkin-Lehner |
2+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400bg |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
533760 |
Modular degree for the optimal curve |
Δ |
-79884800000000 = -1 · 215 · 58 · 792 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -1 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,430000] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:632:1] |
Generators of the group modulo torsion |
j |
1080/6241 |
j-invariant |
L |
4.0381574754291 |
L(r)(E,1)/r! |
Ω |
0.4798289749653 |
Real period |
R |
1.0519783393133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999245253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bc1 63200l1 126400x1 |
Quadratic twists by: -4 8 5 |