Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310o |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-33367040 = -1 · 210 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141,643] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
-904231063/97280 |
j-invariant |
L |
4.7765280033969 |
L(r)(E,1)/r! |
Ω |
2.0190052250651 |
Real period |
R |
0.11828914418097 |
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 |
74480bq1 83790bx1 46550j1 9310u1 |
Quadratic twists by: -4 -3 5 -7 |