Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bo |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
173661996484087488 = 26 · 39 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140439,2891252] |
[a1,a2,a3,a4,a6] |
j |
1360251712/771147 |
j-invariant |
L |
4.9755503756693 |
L(r)(E,1)/r! |
Ω |
0.27641946331384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344bq1 48672s3 32448f1 7488r1 |
Quadratic twists by: -4 8 -3 13 |