Atkin-Lehner |
2- 3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674be |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3006720 |
Modular degree for the optimal curve |
Δ |
-8656831656553231872 = -1 · 29 · 321 · 7 · 173 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -1 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-417083,-175360341] |
[a1,a2,a3,a4,a6] |
j |
-11006840512510998121/11874940543968768 |
j-invariant |
L |
4.8651152158255 |
L(r)(E,1)/r! |
Ω |
0.090094732877981 |
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 |
33558c1 |
Quadratic twists by: -3 |