Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-2.2750823847203E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2604852,1627248528] |
[a1,a2,a3,a4,a6] |
Generators |
[377004754386:-43584664210631:28652616] |
Generators of the group modulo torsion |
j |
378827638483293/440926208000 |
j-invariant |
L |
7.5172392754206 |
L(r)(E,1)/r! |
Ω |
0.097290107095149 |
Real period |
R |
19.316556178732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520h1 20880bn1 83520dv1 |
Quadratic twists by: -4 8 -3 |