Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40296a |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
88973568 = 28 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,948] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
2885794000/347553 |
j-invariant |
L |
4.8044451384277 |
L(r)(E,1)/r! |
Ω |
1.8454527002987 |
Real period |
R |
1.3016982601751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592j1 120888l1 |
Quadratic twists by: -4 -3 |