Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496k |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-69690867821051904 = -1 · 220 · 33 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96056,5447152] |
[a1,a2,a3,a4,a6] |
Generators |
[5734482:213464626:50653] |
Generators of the group modulo torsion |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
5.5062003675417 |
L(r)(E,1)/r! |
Ω |
0.21996055281198 |
Real period |
R |
12.516335991046 |
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 |
2562f1 81984cl1 61488bg1 |
Quadratic twists by: -4 8 -3 |