Atkin-Lehner |
2+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98600g |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1737600 |
Modular degree for the optimal curve |
Δ |
139475813200000000 = 210 · 58 · 17 · 295 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -3 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1098208,442972412] |
[a1,a2,a3,a4,a6] |
j |
366199650425860/348689533 |
j-invariant |
L |
0.65085691229969 |
L(r)(E,1)/r! |
Ω |
0.32542848556838 |
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 |
98600l1 |
Quadratic twists by: 5 |