Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cq |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1069354955418107904 = -1 · 223 · 35 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181904,57965844] |
[a1,a2,a3,a4,a6] |
j |
-4027268071/6469632 |
j-invariant |
L |
4.9520994569999 |
L(r)(E,1)/r! |
Ω |
0.24760497284985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822s1 122304gn1 91728es1 30576ch1 |
Quadratic twists by: -4 8 -3 -7 |