Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468h |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-54212953062731008 = -1 · 28 · 78 · 13 · 414 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 3 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88380,-4789436] |
[a1,a2,a3,a4,a6] |
Generators |
[412:10086:1] |
Generators of the group modulo torsion |
j |
51731670704/36734893 |
j-invariant |
L |
2.0997618009393 |
L(r)(E,1)/r! |
Ω |
0.19946231716305 |
Real period |
R |
1.7545183697585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468q1 |
Quadratic twists by: -7 |