Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176p |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
232655563008 = 28 · 33 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20852,1151808] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:726:1] |
Generators of the group modulo torsion |
j |
2211014608/513 |
j-invariant |
L |
8.6815812947147 |
L(r)(E,1)/r! |
Ω |
0.96594936539028 |
Real period |
R |
1.4979358832047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352g1 456b1 |
Quadratic twists by: -4 -11 |