Atkin-Lehner |
2+ 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240k |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
9223200000 = 28 · 33 · 55 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,16275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:150:1] |
Generators of the group modulo torsion |
j |
875182437376/36028125 |
j-invariant |
L |
7.7581640380478 |
L(r)(E,1)/r! |
Ω |
1.2857172744109 |
Real period |
R |
0.10056855931006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480i1 |
Quadratic twists by: -4 |