Atkin-Lehner |
2- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63920c |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
384542720000 = 214 · 54 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4043,-94342] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:50:1] |
Generators of the group modulo torsion |
j |
1784329222689/93882500 |
j-invariant |
L |
3.2353888241688 |
L(r)(E,1)/r! |
Ω |
0.60067939907029 |
Real period |
R |
1.3465539309176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990d1 |
Quadratic twists by: -4 |