Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980u |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-11069218923750000 = -1 · 24 · 38 · 57 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237117,44729201] |
[a1,a2,a3,a4,a6] |
Generators |
[592:10575:1] |
Generators of the group modulo torsion |
j |
-126405006729297664/949007109375 |
j-invariant |
L |
5.5409612911078 |
L(r)(E,1)/r! |
Ω |
0.40630822474518 |
Real period |
R |
0.32469844735757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660a1 |
Quadratic twists by: -3 |