Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336cl |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
2009799730418688 = 210 · 312 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4923237,-4206236517] |
[a1,a2,a3,a4,a6] |
j |
12887719410278499008512/1962695049237 |
j-invariant |
L |
3.6487107133559 |
L(r)(E,1)/r! |
Ω |
0.10135306008625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102336n1 25584l1 |
Quadratic twists by: -4 8 |