Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984be |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-524156928 = -1 · 217 · 3 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,2580] |
[a1,a2,a3,a4,a6] |
Generators |
[12:18:1] |
Generators of the group modulo torsion |
j |
-1102302937/127968 |
j-invariant |
L |
6.2112187229673 |
L(r)(E,1)/r! |
Ω |
1.6020628897574 |
Real period |
R |
1.9385065225499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7998b1 |
Quadratic twists by: -4 |