Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450dc |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1835008 |
Modular degree for the optimal curve |
Δ |
3517816303872000000 = 214 · 314 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-398030,34725597] |
[a1,a2,a3,a4,a6] |
j |
612241204436497/308834353152 |
j-invariant |
L |
6.1917271431311 |
L(r)(E,1)/r! |
Ω |
0.22113311304241 |
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 |
33150j1 3978d1 |
Quadratic twists by: -3 5 |