Atkin-Lehner |
3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44505g |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-270367875 = -1 · 37 · 53 · 23 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 1 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157,182] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
590589719/370875 |
j-invariant |
L |
3.2019013574005 |
L(r)(E,1)/r! |
Ω |
1.0802486252927 |
Real period |
R |
1.4820205656516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835i1 |
Quadratic twists by: -3 |