Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bh |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-189070478437500 = -1 · 22 · 36 · 57 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12912,-339219] |
[a1,a2,a3,a4,a6] |
Generators |
[750:10071:8] |
Generators of the group modulo torsion |
j |
15236391945671/12100510620 |
j-invariant |
L |
6.6947634479299 |
L(r)(E,1)/r! |
Ω |
0.31529736889123 |
Real period |
R |
1.7694310483974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050bl1 6270g1 |
Quadratic twists by: -3 5 |