Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830be |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
167676468750 = 2 · 32 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-129836,-18017790] |
[a1,a2,a3,a4,a6] |
j |
242052349717010282689/167676468750 |
j-invariant |
L |
4.5271332609606 |
L(r)(E,1)/r! |
Ω |
0.2515074033867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640bm4 14490bf4 24150g4 33810cl4 |
Quadratic twists by: -4 -3 5 -7 |