Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bq |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-385828352000000 = -1 · 215 · 56 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77208,8285588] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-350:1] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
7.0122600535903 |
L(r)(E,1)/r! |
Ω |
0.53743596912792 |
Real period |
R |
1.0873016285346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550b2 1456g2 |
Quadratic twists by: -4 5 |