Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674w |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-834505625678118912 = -1 · 218 · 314 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124965,-47094507] |
[a1,a2,a3,a4,a6] |
j |
-296048809678562641/1144726509846528 |
j-invariant |
L |
3.7131740901376 |
L(r)(E,1)/r! |
Ω |
0.11603668776848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558bn1 |
Quadratic twists by: -3 |