Atkin-Lehner |
2- 5- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550cg |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4371840 |
Modular degree for the optimal curve |
Δ |
-4.2339898226519E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 5 11- 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18430,-313060803] |
[a1,a2,a3,a4,a6] |
j |
-1772219827665/108390139459888 |
j-invariant |
L |
6.6830627664613 |
L(r)(E,1)/r! |
Ω |
0.092820321174952 |
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 |
121550m1 |
Quadratic twists by: 5 |