Atkin-Lehner |
2- 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
73040n |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-751145697280 = -1 · 214 · 5 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1333,-37254] |
[a1,a2,a3,a4,a6] |
j |
63952011999/183385180 |
j-invariant |
L |
0.92315530903759 |
L(r)(E,1)/r! |
Ω |
0.46157765700193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9130h1 |
Quadratic twists by: -4 |