Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
46128b |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-5895182850792192 = -1 · 28 · 33 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 2 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39721,-4775387] |
[a1,a2,a3,a4,a6] |
Generators |
[181997241828:-1315598001355:679151439] |
Generators of the group modulo torsion |
j |
-31744/27 |
j-invariant |
L |
7.3260380748926 |
L(r)(E,1)/r! |
Ω |
0.16323799786388 |
Real period |
R |
14.959829963531 |
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 |
23064e1 46128p1 |
Quadratic twists by: -4 -31 |