Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998f |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
20766786573975552 = 214 · 34 · 118 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1798426,-928420660] |
[a1,a2,a3,a4,a6] |
Generators |
[187751350:20353124792:15625] |
Generators of the group modulo torsion |
j |
363115653908640625/11722309632 |
j-invariant |
L |
6.6083708123378 |
L(r)(E,1)/r! |
Ω |
0.13036988477711 |
Real period |
R |
12.672349184816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818d1 |
Quadratic twists by: -11 |