Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674x |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-24463782 = -1 · 2 · 37 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,238] |
[a1,a2,a3,a4,a6] |
j |
-1/33558 |
j-invariant |
L |
3.3813201047506 |
L(r)(E,1)/r! |
Ω |
1.6906601842094 |
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 |
33558bb1 |
Quadratic twists by: -3 |