Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248bd |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
2003968 = 210 · 19 · 103 |
Discriminant |
Eigenvalues |
2- -3 0 3 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,-776] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
442368000/1957 |
j-invariant |
L |
3.7180469373251 |
L(r)(E,1)/r! |
Ω |
1.342719079773 |
Real period |
R |
1.3845215560803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997792198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248r1 31312t1 |
Quadratic twists by: -4 8 |