Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830u |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
16905000000 = 26 · 3 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-112286,14435483] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
2.8577614090183 |
L(r)(E,1)/r! |
Ω |
0.95258713633944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640cj1 14490w1 24150y1 33810dh1 |
Quadratic twists by: -4 -3 5 -7 |