Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325k |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-8887066716796875 = -1 · 39 · 59 · 19 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -1 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-336867,75475916] |
[a1,a2,a3,a4,a6] |
Generators |
[11388:72056:27] |
Generators of the group modulo torsion |
j |
-109971085671/231173 |
j-invariant |
L |
8.8996255538079 |
L(r)(E,1)/r! |
Ω |
0.41229957819807 |
Real period |
R |
5.3963343754361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325s1 98325t1 |
Quadratic twists by: -3 5 |