Atkin-Lehner |
5+ 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93275h |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14282734375 = 57 · 73 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 3 5+ 7+ 0 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6255,191872] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:-610:27] |
Generators of the group modulo torsion |
j |
1731890916729/914095 |
j-invariant |
L |
8.0957918215024 |
L(r)(E,1)/r! |
Ω |
1.235021925981 |
Real period |
R |
3.2775903197467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18655c1 |
Quadratic twists by: 5 |