Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bi |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
2.0398144262059E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2071272257,29055825385503] |
[a1,a2,a3,a4,a6] |
Generators |
[182658251:9112485888:4913] |
Generators of the group modulo torsion |
j |
3748826618500186394995327057/778127451402990001324032 |
j-invariant |
L |
9.1051227947553 |
L(r)(E,1)/r! |
Ω |
0.0299942250487 |
Real period |
R |
3.613839624469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232cn2 2226g2 |
Quadratic twists by: -4 8 |