Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bg |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
180478368000000 = 211 · 34 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34608,-2380788] |
[a1,a2,a3,a4,a6] |
Generators |
[6954:199773:8] |
Generators of the group modulo torsion |
j |
143256979154/5639949 |
j-invariant |
L |
7.3331605662041 |
L(r)(E,1)/r! |
Ω |
0.35087855660745 |
Real period |
R |
5.22485651685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4872f3 |
Quadratic twists by: 5 |