Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680t |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
7.7482063161406E+26 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230427532,-137922768656] |
[a1,a2,a3,a4,a6] |
Generators |
[-12962:819200:1] |
Generators of the group modulo torsion |
j |
5161630300553298943819449/2955706144768000000000 |
j-invariant |
L |
2.8129026293503 |
L(r)(E,1)/r! |
Ω |
0.042017474455699 |
Real period |
R |
1.8596116249427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bs1 2990c1 |
Quadratic twists by: -4 8 |