Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56544f |
Isogeny class |
Conductor |
56544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
167544847872 = 29 · 34 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26904,-1689480] |
[a1,a2,a3,a4,a6] |
Generators |
[31679670425:581187540024:76765625] |
Generators of the group modulo torsion |
j |
4206495768216776/327236031 |
j-invariant |
L |
5.7363788222973 |
L(r)(E,1)/r! |
Ω |
0.37277435129384 |
Real period |
R |
15.388340969319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56544e4 113088o4 |
Quadratic twists by: -4 8 |