Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46992k |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-107890956087552 = -1 · 28 · 35 · 117 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58476,5446152] |
[a1,a2,a3,a4,a6] |
Generators |
[123:360:1] |
Generators of the group modulo torsion |
j |
-86382177207657424/421449047217 |
j-invariant |
L |
9.6382553318783 |
L(r)(E,1)/r! |
Ω |
0.59761832118442 |
Real period |
R |
3.2255555059901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11748c1 |
Quadratic twists by: -4 |