Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496v |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-4337601601536 = -1 · 213 · 311 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -4 0 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4048,-13356] |
[a1,a2,a3,a4,a6] |
Generators |
[10:168:1] [31:378:1] |
Generators of the group modulo torsion |
j |
1790515088207/1058984766 |
j-invariant |
L |
7.2657866122031 |
L(r)(E,1)/r! |
Ω |
0.45516591774777 |
Real period |
R |
0.18139705487046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562m1 81984bl1 61488be1 |
Quadratic twists by: -4 8 -3 |