Atkin-Lehner |
3- 5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185r |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
1539719897625 = 39 · 53 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3533,55356] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:336:1] |
Generators of the group modulo torsion |
j |
6688239997321/2112098625 |
j-invariant |
L |
3.1926907310496 |
L(r)(E,1)/r! |
Ω |
0.7833674881376 |
Real period |
R |
1.0188994246365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395h1 |
Quadratic twists by: -3 |