Atkin-Lehner |
2- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962m |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2660112 |
Modular degree for the optimal curve |
Δ |
-4872544133207072768 = -1 · 213 · 299 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 1 3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10648339,13370280465] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:48182:1] |
Generators of the group modulo torsion |
j |
-9204227407493/335872 |
j-invariant |
L |
5.9227907051283 |
L(r)(E,1)/r! |
Ω |
0.22780325849322 |
Real period |
R |
0.99998412660938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68962f1 |
Quadratic twists by: 29 |