Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150j |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-9.3642031104E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,180624,-464625602] |
[a1,a2,a3,a4,a6] |
Generators |
[195322952709022:9401280223678826:82369655551] |
Generators of the group modulo torsion |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
3.7876785387294 |
L(r)(E,1)/r! |
Ω |
0.089930580892709 |
Real period |
R |
21.058901772514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200bq1 27450bq1 1830g1 |
Quadratic twists by: -4 -3 5 |