Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14820d |
Isogeny class |
Conductor |
14820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-2106088873200 = -1 · 24 · 310 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110170,-14038343] |
[a1,a2,a3,a4,a6] |
Generators |
[388:1215:1] |
Generators of the group modulo torsion |
j |
-9242675799865044736/131630554575 |
j-invariant |
L |
4.9577523218346 |
L(r)(E,1)/r! |
Ω |
0.13102465415976 |
Real period |
R |
3.1531930343108 |
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 |
59280ca1 44460h1 74100bb1 |
Quadratic twists by: -4 -3 5 |