Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900o |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-216119340000000 = -1 · 28 · 311 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 4 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4200,-699500] |
[a1,a2,a3,a4,a6] |
Generators |
[610:2025:8] |
Generators of the group modulo torsion |
j |
2809856/74115 |
j-invariant |
L |
4.9543909889221 |
L(r)(E,1)/r! |
Ω |
0.27134767939024 |
Real period |
R |
2.2823076099866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300i1 10980h1 |
Quadratic twists by: -3 5 |