Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778i |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
-173290333125672 = -1 · 23 · 35 · 79 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-285736,58768382] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-82:1] [-180:10306:1] |
Generators of the group modulo torsion |
j |
-1167940433374113625/78447412008 |
j-invariant |
L |
9.8658573029358 |
L(r)(E,1)/r! |
Ω |
0.54279413910135 |
Real period |
R |
0.40391238155162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92778g2 |
Quadratic twists by: -47 |