Atkin-Lehner |
2+ 3+ 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330c |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-550501650 = -1 · 2 · 33 · 52 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-513,-4833] |
[a1,a2,a3,a4,a6] |
Generators |
[41:192:1] |
Generators of the group modulo torsion |
j |
-14976071831449/550501650 |
j-invariant |
L |
3.9215678321944 |
L(r)(E,1)/r! |
Ω |
0.50037284617368 |
Real period |
R |
1.3062152426899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990by1 |
Quadratic twists by: -3 |