Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276k |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-603607671804528 = -1 · 24 · 37 · 297 |
Discriminant |
Eigenvalues |
2- 3- -2 1 1 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17661,1487729] |
[a1,a2,a3,a4,a6] |
Generators |
[290:7569:8] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
4.3327811574412 |
L(r)(E,1)/r! |
Ω |
0.46915491928183 |
Real period |
R |
1.154411096252 |
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 |
121104cb1 10092a1 1044f1 |
Quadratic twists by: -4 -3 29 |