Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168by |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-418809051611136 = -1 · 222 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-752400,-250952256] |
[a1,a2,a3,a4,a6] |
Generators |
[1476819576:41386111488:1030301] |
Generators of the group modulo torsion |
j |
-11500340578110291601/102248303616 |
j-invariant |
L |
7.0882570503975 |
L(r)(E,1)/r! |
Ω |
0.081050758321393 |
Real period |
R |
10.931817910773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146m1 |
Quadratic twists by: -4 |