Atkin-Lehner |
2+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23128a |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-348286217216 = -1 · 210 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 4 -2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-29968] |
[a1,a2,a3,a4,a6] |
Generators |
[201076:426056:4913] |
Generators of the group modulo torsion |
j |
-9604/59 |
j-invariant |
L |
7.0450080656679 |
L(r)(E,1)/r! |
Ω |
0.4009863750888 |
Real period |
R |
8.7845978109703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46256f1 23128l1 |
Quadratic twists by: -4 -7 |