Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960bn |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-595865600000 = -1 · 215 · 55 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 11+ 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1652,-26672] |
[a1,a2,a3,a4,a6] |
Generators |
[26:184:1] |
Generators of the group modulo torsion |
j |
15216119352/18184375 |
j-invariant |
L |
3.5714921240233 |
L(r)(E,1)/r! |
Ω |
0.4922792303804 |
Real period |
R |
0.90687660186404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bq1 40480g1 |
Quadratic twists by: -4 8 |