Atkin-Lehner |
2- 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386s |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-43956288854563904 = -1 · 26 · 78 · 132 · 893 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,80996,-4765251] |
[a1,a2,a3,a4,a6] |
Generators |
[377:8729:1] |
Generators of the group modulo torsion |
j |
499488912166607/373622290496 |
j-invariant |
L |
11.575609975408 |
L(r)(E,1)/r! |
Ω |
0.20161383030098 |
Real period |
R |
1.1961408581311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198k1 |
Quadratic twists by: -7 |