Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464k |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
19740672 |
Modular degree for the optimal curve |
Δ |
4.4836552143988E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82687515,287580053844] |
[a1,a2,a3,a4,a6] |
j |
3907721061971521123416918016/28022845089992662124397 |
j-invariant |
L |
1.698927020034 |
L(r)(E,1)/r! |
Ω |
0.094384838651613 |
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 |
50232s1 |
Quadratic twists by: -4 |