Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162i |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-172279430100049536 = -1 · 27 · 39 · 119 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- 7 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522924,-146780848] |
[a1,a2,a3,a4,a6] |
Generators |
[299257403:-146446576:357911] |
Generators of the group modulo torsion |
j |
-453515880987/4940672 |
j-invariant |
L |
4.9719829879907 |
L(r)(E,1)/r! |
Ω |
0.088711094545134 |
Real period |
R |
14.011728222525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bk1 5742r1 |
Quadratic twists by: -3 -11 |