Atkin-Lehner |
2- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720u |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-4.8305612411372E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445056,353529856] |
[a1,a2,a3,a4,a6] |
Generators |
[448:-15616:1] [1546:57950:1] |
Generators of the group modulo torsion |
j |
-2380174077466631809/11793362405120000 |
j-invariant |
L |
8.4688930242446 |
L(r)(E,1)/r! |
Ω |
0.17438080629714 |
Real period |
R |
0.60706889162328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590g1 |
Quadratic twists by: -4 |