Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bb |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-11124000000 = -1 · 28 · 33 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6508,-199988] |
[a1,a2,a3,a4,a6] |
Generators |
[1975191363333357:38802227098686014:4886171981209] |
Generators of the group modulo torsion |
j |
-7622072656/2781 |
j-invariant |
L |
6.8004779357484 |
L(r)(E,1)/r! |
Ω |
0.26576183073676 |
Real period |
R |
25.588617887285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30900f1 4944i1 |
Quadratic twists by: -4 5 |