Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350v |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-123500000000 = -1 · 28 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 6 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,862,13892] |
[a1,a2,a3,a4,a6] |
Generators |
[2:124:1] |
Generators of the group modulo torsion |
j |
36264691/63232 |
j-invariant |
L |
7.780277737209 |
L(r)(E,1)/r! |
Ω |
0.71656237386792 |
Real period |
R |
0.67861134816603 |
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 |
98800cp1 111150ce1 12350j1 |
Quadratic twists by: -4 -3 5 |