Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950db |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-5247445781250000 = -1 · 24 · 34 · 510 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12687,3442617] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-2211:1] |
Generators of the group modulo torsion |
j |
14453677700279/335836530000 |
j-invariant |
L |
11.153488979078 |
L(r)(E,1)/r! |
Ω |
0.32232733974347 |
Real period |
R |
0.36044778872656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790f1 |
Quadratic twists by: 5 |