Atkin-Lehner |
2- 5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21730d |
Isogeny class |
Conductor |
21730 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-29222504000 = -1 · 26 · 53 · 413 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1661,27185] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:231:1] |
Generators of the group modulo torsion |
j |
-506814405937489/29222504000 |
j-invariant |
L |
7.8285913662457 |
L(r)(E,1)/r! |
Ω |
1.1628036421711 |
Real period |
R |
3.3662568134157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108650g1 |
Quadratic twists by: 5 |