Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94428k |
Isogeny class |
Conductor |
94428 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-118952084736 = -1 · 28 · 311 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -6 7 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,-16594] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1377:8] |
Generators of the group modulo torsion |
j |
-35152/637389 |
j-invariant |
L |
5.5620753405234 |
L(r)(E,1)/r! |
Ω |
0.47792968971444 |
Real period |
R |
2.9094631933243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999956202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31476d1 |
Quadratic twists by: -3 |