Atkin-Lehner |
2+ 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458n |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1028798719260193728 = 26 · 314 · 78 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1827441,-949142691] |
[a1,a2,a3,a4,a6] |
j |
925819685181805928977/1411246528477632 |
j-invariant |
L |
2.0777746539519 |
L(r)(E,1)/r! |
Ω |
0.12986091574395 |
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 |
24486n4 |
Quadratic twists by: -3 |