Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
80444c |
Isogeny class |
Conductor |
80444 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-1691859650547248 = -1 · 24 · 73 · 137 · 173 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620793,188068076] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:28730:1] |
Generators of the group modulo torsion |
j |
-342597941248000/21907067 |
j-invariant |
L |
6.2995067112625 |
L(r)(E,1)/r! |
Ω |
0.44841562073746 |
Real period |
R |
2.3413943157243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188f1 |
Quadratic twists by: 13 |