Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1540c |
Isogeny class |
Conductor |
1540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
974426618950400 = 28 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196140,-33466412] |
[a1,a2,a3,a4,a6] |
Generators |
[-2086:1029:8] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
2.2119655135358 |
L(r)(E,1)/r! |
Ω |
0.22687585393271 |
Real period |
R |
1.6249455926322 |
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 |
6160i4 24640k4 13860o4 7700d4 |
Quadratic twists by: -4 8 -3 5 |