Atkin-Lehner |
3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989o |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8.0538949532184E+25 |
Discriminant |
Eigenvalues |
2 3- -3 7+ 3 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55630372,460348867267] |
[a1,a2,a3,a4,a6] |
Generators |
[844570:273784799:8] |
Generators of the group modulo torsion |
j |
-5770012921856/24407490807 |
j-invariant |
L |
12.719222114089 |
L(r)(E,1)/r! |
Ω |
0.053068076511243 |
Real period |
R |
5.9919366549007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989f2 |
Quadratic twists by: 53 |