Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77315c |
Isogeny class |
Conductor |
77315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
454225625 = 54 · 7 · 473 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -6 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1730,-27249] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:21543:8] |
Generators of the group modulo torsion |
j |
5517084663/4375 |
j-invariant |
L |
3.8459333735441 |
L(r)(E,1)/r! |
Ω |
0.74028156777562 |
Real period |
R |
5.1952304883875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77315g2 |
Quadratic twists by: -47 |