Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930m |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
13143746280000 = 26 · 3 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35452,2548624] |
[a1,a2,a3,a4,a6] |
Generators |
[48:956:1] |
Generators of the group modulo torsion |
j |
41886766402489/111720000 |
j-invariant |
L |
3.3824846928585 |
L(r)(E,1)/r! |
Ω |
0.71070389486872 |
Real period |
R |
0.59491806596251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790dr1 3990k1 |
Quadratic twists by: -3 -7 |