Atkin-Lehner |
2+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400bb |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3093299200000000 = -1 · 227 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -1 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2967500,1967590000] |
[a1,a2,a3,a4,a6] |
Generators |
[750:12800:1] [2925:135325:1] |
Generators of the group modulo torsion |
j |
-28222529675625/30208 |
j-invariant |
L |
10.995848330667 |
L(r)(E,1)/r! |
Ω |
0.37814039374807 |
Real period |
R |
2.4232288043158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400dj1 2950j1 94400a1 |
Quadratic twists by: -4 8 5 |