Atkin-Lehner |
3+ 5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23655a |
Isogeny class |
Conductor |
23655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-46201171875 = -1 · 3 · 510 · 19 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5291,150272] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:1549:27] |
Generators of the group modulo torsion |
j |
-16383967427067904/46201171875 |
j-invariant |
L |
3.3169533599005 |
L(r)(E,1)/r! |
Ω |
1.1384568967084 |
Real period |
R |
1.4567759963028 |
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 |
70965h1 118275g1 |
Quadratic twists by: -3 5 |