Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760o |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
445629600000000 = 211 · 34 · 58 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40136,-2936940] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:414:1] |
Generators of the group modulo torsion |
j |
3491458179155858/217592578125 |
j-invariant |
L |
7.9170754855528 |
L(r)(E,1)/r! |
Ω |
0.33861581215765 |
Real period |
R |
1.4612938915682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880a2 |
Quadratic twists by: -4 |