Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800l |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-213580800 = -1 · 210 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 -1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168,-1152] |
[a1,a2,a3,a4,a6] |
Generators |
[24:96:1] |
Generators of the group modulo torsion |
j |
-20606020/8343 |
j-invariant |
L |
8.371533344361 |
L(r)(E,1)/r! |
Ω |
0.64976787887537 |
Real period |
R |
1.6104853780185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600i1 61800e1 |
Quadratic twists by: -4 5 |