Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208dc |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
437093411248406528 = 221 · 76 · 116 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275073,-45607553] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2485:1] [-289:3136:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
7.0521227218107 |
L(r)(E,1)/r! |
Ω |
0.21121176218944 |
Real period |
R |
2.7824060904205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208m4 13552ba4 448f4 |
Quadratic twists by: -4 8 -11 |