Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450l |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
419175000000 = 26 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27326,1736048] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1861:1] |
Generators of the group modulo torsion |
j |
5776556465785/1073088 |
j-invariant |
L |
2.9633056578769 |
L(r)(E,1)/r! |
Ω |
0.9159589165999 |
Real period |
R |
0.80879873654075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27600cc1 110400bv1 10350bv1 3450q1 |
Quadratic twists by: -4 8 -3 5 |