Atkin-Lehner |
2+ 3+ 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546d |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
101120 |
Modular degree for the optimal curve |
Δ |
-13397666436 = -1 · 22 · 33 · 75 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4191,105633] |
[a1,a2,a3,a4,a6] |
Generators |
[-594:759:8] [36:3:1] |
Generators of the group modulo torsion |
j |
-301558252886379/496209868 |
j-invariant |
L |
6.8066573474675 |
L(r)(E,1)/r! |
Ω |
1.2576342165638 |
Real period |
R |
0.13530677795555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546bg1 |
Quadratic twists by: -3 |