Atkin-Lehner |
2+ 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97008b |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
23572944 = 24 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 6 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255,1638] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] |
Generators of the group modulo torsion |
j |
115060504576/1473309 |
j-invariant |
L |
5.6530095925095 |
L(r)(E,1)/r! |
Ω |
2.1412483454203 |
Real period |
R |
1.3200266114731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48504m1 |
Quadratic twists by: -4 |