Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048g |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3441419606016 = 211 · 33 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56072,5091120] |
[a1,a2,a3,a4,a6] |
Generators |
[151:300:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
7.8152829995283 |
L(r)(E,1)/r! |
Ω |
0.76782246991249 |
Real period |
R |
3.3928341970417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096k2 81144ca2 552a2 |
Quadratic twists by: -4 -3 -7 |