Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gs |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-968181984 = -1 · 25 · 36 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-419,-3517] |
[a1,a2,a3,a4,a6] |
Generators |
[37:156:1] |
Generators of the group modulo torsion |
j |
-268279/32 |
j-invariant |
L |
12.372593932583 |
L(r)(E,1)/r! |
Ω |
0.52420372056983 |
Real period |
R |
2.360264422417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858k1 106722he1 106722dd1 |
Quadratic twists by: -3 -7 -11 |