Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bu |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
2.3460175070053E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22919783,-42177460812] |
[a1,a2,a3,a4,a6] |
Generators |
[6364:264096:1] |
Generators of the group modulo torsion |
j |
5326172487431504287744/9384070028021325 |
j-invariant |
L |
8.5135066833112 |
L(r)(E,1)/r! |
Ω |
0.069006959021492 |
Real period |
R |
6.168585616569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600b1 21840b1 |
Quadratic twists by: -4 5 |