Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930c |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-4509636714843750000 = -1 · 24 · 311 · 512 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,345012,66135168] |
[a1,a2,a3,a4,a6] |
j |
13241287869457332257/13147628906250000 |
j-invariant |
L |
1.2902982445648 |
L(r)(E,1)/r! |
Ω |
0.16128728057066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790fd1 27930bs1 |
Quadratic twists by: -3 -7 |