Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cs |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
176000 |
Modular degree for the optimal curve |
Δ |
-2474423437500000 = -1 · 25 · 35 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29630,1381295] |
[a1,a2,a3,a4,a6] |
Generators |
[223:4263:1] |
Generators of the group modulo torsion |
j |
8387328063906233/7214062500000 |
j-invariant |
L |
7.484213039411 |
L(r)(E,1)/r! |
Ω |
0.29737720455064 |
Real period |
R |
0.22879460603274 |
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 |
83790bk1 27930cy1 |
Quadratic twists by: -3 -7 |