Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450be |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-351463523090625000 = -1 · 23 · 313 · 58 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,107299,-25101952] |
[a1,a2,a3,a4,a6] |
Generators |
[402:-9314:1] |
Generators of the group modulo torsion |
j |
349749030362135/899746619112 |
j-invariant |
L |
4.6851814642917 |
L(r)(E,1)/r! |
Ω |
0.15619912612961 |
Real period |
R |
0.76910070422659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450bn1 |
Quadratic twists by: 5 |