Atkin-Lehner |
2- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67522p |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-2949512895100954 = -1 · 2 · 78 · 136 · 53 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 3 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12739,2554747] |
[a1,a2,a3,a4,a6] |
Generators |
[5342:137937:8] |
Generators of the group modulo torsion |
j |
1943297778239/25070445946 |
j-invariant |
L |
5.5826465527619 |
L(r)(E,1)/r! |
Ω |
0.33378148298773 |
Real period |
R |
4.1813632848217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646e1 |
Quadratic twists by: -7 |