Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368l |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
5333154048 = 28 · 36 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85719,9659702] |
[a1,a2,a3,a4,a6] |
j |
373239420296272/28577 |
j-invariant |
L |
2.0687294560025 |
L(r)(E,1)/r! |
Ω |
1.0343646553545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50184g1 11152j1 |
Quadratic twists by: -4 -3 |