Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
73810k |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-235658951312998400 = -1 · 216 · 52 · 119 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,153042,-3841219] |
[a1,a2,a3,a4,a6] |
j |
223770153205431/133023334400 |
j-invariant |
L |
2.9294051586822 |
L(r)(E,1)/r! |
Ω |
0.18308782148695 |
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 |
6710a1 |
Quadratic twists by: -11 |