Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9400k |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2350000000000 = 210 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 -3 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22075,-1260250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2310:1250:27] |
Generators of the group modulo torsion |
j |
74354261796/146875 |
j-invariant |
L |
6.9843456513258 |
L(r)(E,1)/r! |
Ω |
0.3917201515652 |
Real period |
R |
2.2287421337077 |
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 |
18800b1 75200bb1 84600j1 1880a1 |
Quadratic twists by: -4 8 -3 5 |