Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bi |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
209088000 = 29 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
18073352/3375 |
j-invariant |
L |
4.1924119664774 |
L(r)(E,1)/r! |
Ω |
1.6910733265785 |
Real period |
R |
2.4791426252986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58080q1 116160ee1 58080c1 |
Quadratic twists by: -4 8 -11 |