Atkin-Lehner |
2- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402y |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1311152128 = -1 · 211 · 113 · 13 · 37 |
Discriminant |
Eigenvalues |
2- -2 -4 1 11+ 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85,1761] |
[a1,a2,a3,a4,a6] |
Generators |
[10:39:1] [-12:39:1] |
Generators of the group modulo torsion |
j |
-51064811/985088 |
j-invariant |
L |
10.042913183726 |
L(r)(E,1)/r! |
Ω |
1.2850134510269 |
Real period |
R |
0.3552461289661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402b1 |
Quadratic twists by: -11 |