Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336i |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-22414040064 = -1 · 210 · 35 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,439,6129] |
[a1,a2,a3,a4,a6] |
j |
9116489984/21888711 |
j-invariant |
L |
0.84038748659548 |
L(r)(E,1)/r! |
Ω |
0.84038747001251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cg1 6396g1 |
Quadratic twists by: -4 8 |