Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968s |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-87113383936 = -1 · 214 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 -1 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1557,28109] |
[a1,a2,a3,a4,a6] |
Generators |
[44:207:1] |
Generators of the group modulo torsion |
j |
-25494618112/5316979 |
j-invariant |
L |
6.3904879629519 |
L(r)(E,1)/r! |
Ω |
1.0302830837509 |
Real period |
R |
1.5506631293233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968bg1 1748d1 |
Quadratic twists by: -4 8 |