Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19716d |
Isogeny class |
Conductor |
19716 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-9820159749335808 = -1 · 28 · 32 · 315 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 1 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41787,3466791] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1098:1] |
Generators of the group modulo torsion |
j |
31520778346496000/38359999020843 |
j-invariant |
L |
6.601444659796 |
L(r)(E,1)/r! |
Ω |
0.27327996240489 |
Real period |
R |
4.0260572599266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864n1 59148f1 |
Quadratic twists by: -4 -3 |