Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cf |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-208369465804800 = -1 · 211 · 310 · 52 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16635,1079030] |
[a1,a2,a3,a4,a6] |
Generators |
[1726:71514:1] |
Generators of the group modulo torsion |
j |
-13639380290/5582601 |
j-invariant |
L |
6.7305264606894 |
L(r)(E,1)/r! |
Ω |
0.52782037690297 |
Real period |
R |
6.3757736092946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600k1 73800bh1 |
Quadratic twists by: -3 5 |