Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650o |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-43132500 = -1 · 22 · 35 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76,398] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-19:1] |
Generators of the group modulo torsion |
j |
-76215625/69012 |
j-invariant |
L |
4.4166326662747 |
L(r)(E,1)/r! |
Ω |
1.8540096120087 |
Real period |
R |
0.079406863870741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200cp1 31950cu1 10650s1 |
Quadratic twists by: -4 -3 5 |