Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553k |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-1601061046925067 = -1 · 39 · 7 · 13 · 197 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-123943,-16863771] |
[a1,a2,a3,a4,a6] |
Generators |
[560170674:6375824975:1191016] |
Generators of the group modulo torsion |
j |
-4475809792000/34031907 |
j-invariant |
L |
4.0284335375399 |
L(r)(E,1)/r! |
Ω |
0.1271647034475 |
Real period |
R |
15.839432695695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l1 |
Quadratic twists by: -19 |