Atkin-Lehner |
2- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
26288d |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-834486272 = -1 · 214 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 -4 2 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,1792] |
[a1,a2,a3,a4,a6] |
Generators |
[18:62:1] |
Generators of the group modulo torsion |
j |
-192100033/203732 |
j-invariant |
L |
4.1718433805003 |
L(r)(E,1)/r! |
Ω |
1.4408374426524 |
Real period |
R |
0.72385740004447 |
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 |
3286d1 105152n1 |
Quadratic twists by: -4 8 |