Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4700g |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2439840500000000 = -1 · 28 · 59 · 474 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91375,10893750] |
[a1,a2,a3,a4,a6] |
Generators |
[150:750:1] |
Generators of the group modulo torsion |
j |
-168746928912/4879681 |
j-invariant |
L |
3.6845836094984 |
L(r)(E,1)/r! |
Ω |
0.45688916824479 |
Real period |
R |
2.6881673321733 |
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 |
18800bn2 75200be2 42300bc2 4700k2 |
Quadratic twists by: -4 8 -3 5 |