Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11100f |
Isogeny class |
Conductor |
11100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-410700000000 = -1 · 28 · 3 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 2 -1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9333,351537] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1850:1] |
Generators of the group modulo torsion |
j |
-899153920/4107 |
j-invariant |
L |
3.0916815146269 |
L(r)(E,1)/r! |
Ω |
0.95059073165332 |
Real period |
R |
0.18068773282399 |
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 |
44400de1 33300x1 11100m1 |
Quadratic twists by: -4 -3 5 |