Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240r |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.7621033850934E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5554116,-29939121780] |
[a1,a2,a3,a4,a6] |
Generators |
[22847627509302399580153851049788246:1142560835175833619445560886660767500:4673606251963080463062228514773] |
Generators of the group modulo torsion |
j |
-74016520097693684712784/1469571634802110546875 |
j-invariant |
L |
7.4317121063685 |
L(r)(E,1)/r! |
Ω |
0.04108077332455 |
Real period |
R |
45.226218404263 |
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 |
36120e2 |
Quadratic twists by: -4 |