Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
782a |
Isogeny class |
Conductor |
782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-25024 = -1 · 26 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5,6] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
18191447/25024 |
j-invariant |
L |
1.4230642485086 |
L(r)(E,1)/r! |
Ω |
2.5499874085908 |
Real period |
R |
1.1161343336162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6256f1 25024c1 7038q1 19550bj1 |
Quadratic twists by: -4 8 -3 5 |