Atkin-Lehner |
2- 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458bi |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-770572596274100928 = -1 · 26 · 311 · 73 · 113 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-497426855,4270262798495] |
[a1,a2,a3,a4,a6] |
j |
-18671700285641937565804515625/1057026881034432 |
j-invariant |
L |
5.5869696697887 |
L(r)(E,1)/r! |
Ω |
0.15519360154343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24486e2 |
Quadratic twists by: -3 |