Atkin-Lehner |
3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bq |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-5.0652097464568E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1003638,516657267] |
[a1,a2,a3,a4,a6] |
Generators |
[177:18474:1] |
Generators of the group modulo torsion |
j |
-57243343075965773/25933873901859 |
j-invariant |
L |
3.9512575105773 |
L(r)(E,1)/r! |
Ω |
0.18717569487261 |
Real period |
R |
1.5078489825513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999381695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98175p1 |
Quadratic twists by: 5 |