Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160x |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
463137053400000 = 26 · 39 · 55 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115587,-15090084] |
[a1,a2,a3,a4,a6] |
Generators |
[552:9450:1] |
Generators of the group modulo torsion |
j |
135574940230848/367653125 |
j-invariant |
L |
5.5036382220032 |
L(r)(E,1)/r! |
Ω |
0.25896620450645 |
Real period |
R |
1.4168227684361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160p1 10080bf2 20160l1 100800m1 |
Quadratic twists by: -4 8 -3 5 |