Atkin-Lehner |
2+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288b |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-3396483067072 = -1 · 26 · 192 · 435 |
Discriminant |
Eigenvalues |
2+ 2 2 4 -3 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66597,6637847] |
[a1,a2,a3,a4,a6] |
Generators |
[-19036:13395:64] |
Generators of the group modulo torsion |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
11.259698675417 |
L(r)(E,1)/r! |
Ω |
0.76053046571082 |
Real period |
R |
7.4025296704461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288v1 817b1 |
Quadratic twists by: -4 8 |