Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4900f |
Isogeny class |
Conductor |
4900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-807072140000000 = -1 · 28 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-986533,376825063] |
[a1,a2,a3,a4,a6] |
Generators |
[513:2450:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
4.4072315825771 |
L(r)(E,1)/r! |
Ω |
0.45073133669281 |
Real period |
R |
0.40741487073308 |
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 |
19600cj2 78400bs2 44100ce2 980d2 |
Quadratic twists by: -4 8 -3 5 |