Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930n |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-207014003910000 = -1 · 24 · 33 · 54 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7767,-743931] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:19079:8] |
Generators of the group modulo torsion |
j |
-1284365503/5130000 |
j-invariant |
L |
3.7729250355603 |
L(r)(E,1)/r! |
Ω |
0.23204255077087 |
Real period |
R |
4.0649064396015 |
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 |
83790ds1 27930bh1 |
Quadratic twists by: -3 -7 |