Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4230s |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2982150 = 2 · 33 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70688,-7216083] |
[a1,a2,a3,a4,a6] |
Generators |
[101748:3944235:64] |
Generators of the group modulo torsion |
j |
1446742603479537027/110450 |
j-invariant |
L |
4.8667878641832 |
L(r)(E,1)/r! |
Ω |
0.29279496968011 |
Real period |
R |
8.3109144079563 |
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 |
33840u2 4230e2 21150a2 |
Quadratic twists by: -4 -3 5 |