Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230x |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-6789353450262624000 = -1 · 28 · 39 · 53 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14950442,-22246571159] |
[a1,a2,a3,a4,a6] |
Generators |
[4951:155879:1] |
Generators of the group modulo torsion |
j |
-18775628770677260699547/344934890528000 |
j-invariant |
L |
5.1153439403818 |
L(r)(E,1)/r! |
Ω |
0.038388891733549 |
Real period |
R |
5.552109509402 |
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 |
33840bl3 4230d1 21150j3 |
Quadratic twists by: -4 -3 5 |