Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
106200o |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-544357968750000 = -1 · 24 · 310 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12450,-1243375] |
[a1,a2,a3,a4,a6] |
Generators |
[1960:86625:1] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
7.6799578729707 |
L(r)(E,1)/r! |
Ω |
0.21032045201119 |
Real period |
R |
4.5644383325585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400i1 21240j1 |
Quadratic twists by: -3 5 |