Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270z |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
30222720 |
Modular degree for the optimal curve |
Δ |
-2.8234540485892E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78771441,371138847759] |
[a1,a2,a3,a4,a6] |
Generators |
[60159:14576720:1] |
Generators of the group modulo torsion |
j |
-868206687025969/453496320000 |
j-invariant |
L |
9.4550204666206 |
L(r)(E,1)/r! |
Ω |
0.061856107078542 |
Real period |
R |
2.1229872831893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270u1 |
Quadratic twists by: 53 |