Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226u |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
104413888512 = 215 · 37 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1211,4907] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:76:1] [3:34:1] |
Generators of the group modulo torsion |
j |
269210725993/143228928 |
j-invariant |
L |
9.6120964841438 |
L(r)(E,1)/r! |
Ω |
0.92853198404573 |
Real period |
R |
0.17253213763413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8742d1 |
Quadratic twists by: -3 |