Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600ba |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-704327680000000000 = -1 · 221 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3680208,-2718946412] |
[a1,a2,a3,a4,a6] |
Generators |
[4245122874:-715185247616:148877] |
Generators of the group modulo torsion |
j |
-137810063865625/17608192 |
j-invariant |
L |
3.3334480304079 |
L(r)(E,1)/r! |
Ω |
0.054500204109028 |
Real period |
R |
15.290988744461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950m1 47600bl1 |
Quadratic twists by: -4 5 |