Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072i |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5701632 |
Modular degree for the optimal curve |
Δ |
-6.2360123928948E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21226791,-37833424774] |
[a1,a2,a3,a4,a6] |
Generators |
[6989258932154924875240:-612641831470194820167549:689026915676224000] |
Generators of the group modulo torsion |
j |
-5667731265029900818768/33414846926948487 |
j-invariant |
L |
4.8457618673365 |
L(r)(E,1)/r! |
Ω |
0.035155673046144 |
Real period |
R |
34.459316573502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024v1 |
Quadratic twists by: -3 |