Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cs |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
7260 |
Product of Tamagawa factors cp |
deg |
45999360 |
Modular degree for the optimal curve |
Δ |
-9.9688390812571E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-353461063,-2602512347383] |
[a1,a2,a3,a4,a6] |
Generators |
[200342:-89362171:1] |
Generators of the group modulo torsion |
j |
-312556419987487420229732521/6380057012004525312000 |
j-invariant |
L |
12.689642837582 |
L(r)(E,1)/r! |
Ω |
0.017388375268845 |
Real period |
R |
0.10052029942467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530k1 |
Quadratic twists by: 5 |