Atkin-Lehner |
3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325cg |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-551088175564650375 = -1 · 311 · 53 · 196 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2366127,1401940656] |
[a1,a2,a3,a4,a6] |
j |
-16076830317572843909/6047606864907 |
j-invariant |
L |
2.2927752372063 |
L(r)(E,1)/r! |
Ω |
0.28659690911583 |
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 |
32775bf1 98325ca1 |
Quadratic twists by: -3 5 |