Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336ct |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
104792064 = 216 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 0 3 13- -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9217,-343681] |
[a1,a2,a3,a4,a6] |
Generators |
[-1359259:10944:24389] |
Generators of the group modulo torsion |
j |
1321477161988/1599 |
j-invariant |
L |
7.219245445435 |
L(r)(E,1)/r! |
Ω |
0.48724597793262 |
Real period |
R |
7.40821449097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336t1 25584a1 |
Quadratic twists by: -4 8 |