Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bx |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
758744589545533125 = 310 · 54 · 197 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-538500,-146211444] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:67:1] |
Generators of the group modulo torsion |
j |
37902974156800000/1665283049757 |
j-invariant |
L |
4.1181909501726 |
L(r)(E,1)/r! |
Ω |
0.17671817708774 |
Real period |
R |
3.8839533817125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775bi1 98325be1 |
Quadratic twists by: -3 5 |