Atkin-Lehner |
2- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616n |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-2.0028343421936E+19 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 4 1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1759504,-924356076] |
[a1,a2,a3,a4,a6] |
j |
-147073621479228951697/4889732280745984 |
j-invariant |
L |
3.2707194169022 |
L(r)(E,1)/r! |
Ω |
0.065414392890351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202k1 |
Quadratic twists by: -4 |