Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336l |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
39847182336 = 214 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 5 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4401,-110511] |
[a1,a2,a3,a4,a6] |
j |
575514878416/2432079 |
j-invariant |
L |
3.5177521348672 |
L(r)(E,1)/r! |
Ω |
0.58629191163277 |
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 |
102336ck1 6396b1 |
Quadratic twists by: -4 8 |