Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21402h |
Isogeny class |
Conductor |
21402 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-200963386344564 = -1 · 22 · 36 · 293 · 414 |
Discriminant |
Eigenvalues |
2- 3- -1 2 5 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7222,-641635] |
[a1,a2,a3,a4,a6] |
Generators |
[649:16321:1] |
Generators of the group modulo torsion |
j |
57151154952359/275669940116 |
j-invariant |
L |
8.0520636757494 |
L(r)(E,1)/r! |
Ω |
0.28433671764723 |
Real period |
R |
1.1799483933428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378a1 |
Quadratic twists by: -3 |