Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bi |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
3091153640625 = 39 · 56 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1272155,-551960278] |
[a1,a2,a3,a4,a6] |
Generators |
[-23392875:11769917:35937] |
Generators of the group modulo torsion |
j |
19989223566735457/271377 |
j-invariant |
L |
4.624784779288 |
L(r)(E,1)/r! |
Ω |
0.1421557969458 |
Real period |
R |
8.1333031747209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775t1 3933a1 |
Quadratic twists by: -3 5 |