Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610q |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-184941137520 = -1 · 24 · 35 · 5 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1366,-6964] |
[a1,a2,a3,a4,a6] |
Generators |
[9:73:1] [78:641:8] |
Generators of the group modulo torsion |
j |
282184241220071/184941137520 |
j-invariant |
L |
7.532167853112 |
L(r)(E,1)/r! |
Ω |
0.57662944577214 |
Real period |
R |
1.3062405862792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cv1 |
Quadratic twists by: -3 |