Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560bg |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-337206240000 = -1 · 28 · 36 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1260,32400] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-420:1] [18:-126:1] |
Generators of the group modulo torsion |
j |
-864848456656/1317211875 |
j-invariant |
L |
11.02496704463 |
L(r)(E,1)/r! |
Ω |
0.86351739605302 |
Real period |
R |
0.26598979300202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120r2 |
Quadratic twists by: -4 |