Atkin-Lehner |
2+ 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090x |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-34967233479244500 = -1 · 22 · 38 · 53 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34074,9325368] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:1074:1] [-188:3104:1] |
Generators of the group modulo torsion |
j |
-6001678266883489/47966026720500 |
j-invariant |
L |
6.4028741603151 |
L(r)(E,1)/r! |
Ω |
0.31480413193563 |
Real period |
R |
0.21186699623834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030v2 |
Quadratic twists by: -3 |