Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5680h |
Isogeny class |
Conductor |
5680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
90880000000000 = 217 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17680,-785900] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:250:1] |
Generators of the group modulo torsion |
j |
149222774347921/22187500000 |
j-invariant |
L |
4.3975290124416 |
L(r)(E,1)/r! |
Ω |
0.41814632243462 |
Real period |
R |
0.52583614592584 |
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 |
710d1 22720bb1 51120bi1 28400j1 |
Quadratic twists by: -4 8 -3 5 |