Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bn |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-1486142638596 = -1 · 22 · 33 · 79 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123530,16659803] |
[a1,a2,a3,a4,a6] |
j |
-5166053458903/36828 |
j-invariant |
L |
3.0412272487464 |
L(r)(E,1)/r! |
Ω |
0.76030679897052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cl1 |
Quadratic twists by: -7 |