Atkin-Lehner |
2+ 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680g |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151680 |
Modular degree for the optimal curve |
Δ |
-2327596051760 = -1 · 24 · 5 · 710 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -2 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202,73411] |
[a1,a2,a3,a4,a6] |
Generators |
[955:33614:125] |
Generators of the group modulo torsion |
j |
-56971524096/145474753235 |
j-invariant |
L |
3.3583191532555 |
L(r)(E,1)/r! |
Ω |
0.65776666111339 |
Real period |
R |
2.5528195269719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28840i1 |
Quadratic twists by: -4 |