Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
52668f |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
-2191639231432772352 = -1 · 28 · 39 · 78 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26617464,52856514468] |
[a1,a2,a3,a4,a6] |
Generators |
[-5736:129654:1] |
Generators of the group modulo torsion |
j |
-413897192365471358976/434948470649 |
j-invariant |
L |
6.8593435241188 |
L(r)(E,1)/r! |
Ω |
0.21869824083711 |
Real period |
R |
2.6137016838907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52668b1 |
Quadratic twists by: -3 |