Atkin-Lehner |
3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325b |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-130825341796875 = -1 · 3 · 511 · 114 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 1 11+ 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-235658,-43957282] |
[a1,a2,a3,a4,a6] |
Generators |
[5587:415937:1] |
Generators of the group modulo torsion |
j |
-92630091209273344/8372821875 |
j-invariant |
L |
2.3037464422475 |
L(r)(E,1)/r! |
Ω |
0.10834191391085 |
Real period |
R |
2.6579584473172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065h1 |
Quadratic twists by: 5 |