Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bk |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
584662069932982272 = 228 · 32 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-286504,46040105] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:8493:1] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
6.698714089652 |
L(r)(E,1)/r! |
Ω |
0.2737151836789 |
Real period |
R |
0.43702323286953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122k1 |
Quadratic twists by: -7 |