Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98900f |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
-338119418900000000 = -1 · 28 · 58 · 23 · 435 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -1 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47616908,-126454825688] |
[a1,a2,a3,a4,a6] |
Generators |
[4342069501:241970771750:456533] |
Generators of the group modulo torsion |
j |
-2985020398250695142224/84529854725 |
j-invariant |
L |
6.477173690886 |
L(r)(E,1)/r! |
Ω |
0.028736194846321 |
Real period |
R |
11.270061522778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19780b1 |
Quadratic twists by: 5 |