Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710be |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-5214958702200 = -1 · 23 · 35 · 52 · 135 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1749,113272] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-306:1] |
Generators of the group modulo torsion |
j |
-2045682844201/18044839800 |
j-invariant |
L |
4.6838389042809 |
L(r)(E,1)/r! |
Ω |
0.65451358558372 |
Real period |
R |
0.14312426885806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710u1 |
Quadratic twists by: 17 |