Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080br |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16575321600000000 = -1 · 215 · 35 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50465,-7560063] |
[a1,a2,a3,a4,a6] |
Generators |
[343:3920:1] |
Generators of the group modulo torsion |
j |
-433763710968392/505838671875 |
j-invariant |
L |
6.7089927037194 |
L(r)(E,1)/r! |
Ω |
0.15240837110053 |
Real period |
R |
5.5024804867856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080cn2 35040e2 |
Quadratic twists by: -4 8 |