Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bj |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-716538368000 = -1 · 212 · 53 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1479,-34212] |
[a1,a2,a3,a4,a6] |
Generators |
[27:146:1] |
Generators of the group modulo torsion |
j |
58471492723/116985856 |
j-invariant |
L |
4.3648603958726 |
L(r)(E,1)/r! |
Ω |
0.47079256288564 |
Real period |
R |
1.1589128471781 |
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 |
31850co1 31850bh1 |
Quadratic twists by: 5 -7 |