Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bo |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1801481848094720 = -1 · 221 · 5 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11- 3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4895,2039455] |
[a1,a2,a3,a4,a6] |
Generators |
[33:1496:1] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
8.4713684130299 |
L(r)(E,1)/r! |
Ω |
0.3618311997269 |
Real period |
R |
1.1706243711687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840m1 14960f1 |
Quadratic twists by: -4 8 |