Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bb |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
300501720233279488 = 217 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171820,-7474896] |
[a1,a2,a3,a4,a6] |
Generators |
[-387:1029:1] |
Generators of the group modulo torsion |
j |
2415899250/1294139 |
j-invariant |
L |
5.0301573303763 |
L(r)(E,1)/r! |
Ω |
0.24943642173628 |
Real period |
R |
3.3610150002403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bu2 6776i2 4928g2 |
Quadratic twists by: -4 8 -11 |