Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
48480s |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-872640 = -1 · 26 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26,60] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [1:6:1] |
Generators of the group modulo torsion |
j |
-31554496/13635 |
j-invariant |
L |
9.7405296953152 |
L(r)(E,1)/r! |
Ω |
2.6296302490811 |
Real period |
R |
0.61735737047177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480g1 96960co1 |
Quadratic twists by: -4 8 |