Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bi |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-8.0798536724065E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1595064,-887302800] |
[a1,a2,a3,a4,a6] |
j |
-19007021070457/3421836288 |
j-invariant |
L |
0.79822137804727 |
L(r)(E,1)/r! |
Ω |
0.066518448170536 |
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 |
3822j1 122304gr1 91728dk1 30576da1 |
Quadratic twists by: -4 8 -3 -7 |