Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080co |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7857930240000 = 218 · 32 · 54 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5505,78975] |
[a1,a2,a3,a4,a6] |
Generators |
[69:180:1] |
Generators of the group modulo torsion |
j |
70393838689/29975625 |
j-invariant |
L |
8.6920116472076 |
L(r)(E,1)/r! |
Ω |
0.66775068501548 |
Real period |
R |
3.254212928221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990616 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70080m2 17520j2 |
Quadratic twists by: -4 8 |