Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712n |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116704512 = 28 · 32 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1788,-29700] |
[a1,a2,a3,a4,a6] |
Generators |
[17325:36630:343] |
Generators of the group modulo torsion |
j |
48778000/9 |
j-invariant |
L |
8.6014168881653 |
L(r)(E,1)/r! |
Ω |
0.73416258055662 |
Real period |
R |
5.8579782706445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856l2 65712o2 |
Quadratic twists by: -4 37 |