Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770l |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76000 |
Modular degree for the optimal curve |
Δ |
-11083532206080 = -1 · 225 · 3 · 5 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,397,-160114] |
[a1,a2,a3,a4,a6] |
Generators |
[497380:2350557:8000] |
Generators of the group modulo torsion |
j |
6944913230039/11083532206080 |
j-invariant |
L |
6.1082699694202 |
L(r)(E,1)/r! |
Ω |
0.33411223361207 |
Real period |
R |
9.1410450664799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104310bn1 |
Quadratic twists by: -3 |