Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830r |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-857302254769101120 = -1 · 26 · 316 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1076621,431827139] |
[a1,a2,a3,a4,a6] |
Generators |
[441:6340:1] |
Generators of the group modulo torsion |
j |
-138010547060620856386129/857302254769101120 |
j-invariant |
L |
4.3523623627648 |
L(r)(E,1)/r! |
Ω |
0.28280965973537 |
Real period |
R |
1.2824769277793 |
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 |
38640cp2 14490s2 24150bg2 33810di2 |
Quadratic twists by: -4 -3 5 -7 |