Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bd |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
4012579887224832 = 211 · 36 · 74 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44000,1810644] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1044:1] [-209:1386:1] |
Generators of the group modulo torsion |
j |
4600040544792002/1959267523059 |
j-invariant |
L |
10.98873946439 |
L(r)(E,1)/r! |
Ω |
0.39712591821057 |
Real period |
R |
0.1921574171884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592n2 |
Quadratic twists by: -4 |