Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.9196467298341E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2108929,-972923809] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:13005:1] [-535:1584:1] |
Generators of the group modulo torsion |
j |
163936758817/30338064 |
j-invariant |
L |
10.476138178312 |
L(r)(E,1)/r! |
Ω |
0.12688133554168 |
Real period |
R |
10.320803029838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55488cp2 1734i2 3264h2 |
Quadratic twists by: -4 8 17 |