Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300w |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-2655611043750000 = -1 · 24 · 32 · 58 · 75 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29042,-1577287] |
[a1,a2,a3,a4,a6] |
Generators |
[908:27825:1] |
Generators of the group modulo torsion |
j |
433419357440/424897767 |
j-invariant |
L |
9.1962616073035 |
L(r)(E,1)/r! |
Ω |
0.24803785644177 |
Real period |
R |
0.2059780021206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300g1 |
Quadratic twists by: 5 |