Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bg |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1795313251449000 = 23 · 34 · 53 · 536 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14981860,-22326372163] |
[a1,a2,a3,a4,a6] |
Generators |
[-4910581:2475387:2197] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
8.5346735675019 |
L(r)(E,1)/r! |
Ω |
0.076737583869373 |
Real period |
R |
6.1788306023046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a7 |
Quadratic twists by: 53 |