Atkin-Lehner |
2+ 3+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776c |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45440 |
Modular degree for the optimal curve |
Δ |
-57382401024 = -1 · 210 · 310 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -2 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19864,-1071044] |
[a1,a2,a3,a4,a6] |
j |
-846536597603428/56037501 |
j-invariant |
L |
3.217135242641 |
L(r)(E,1)/r! |
Ω |
0.20107095266507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45552g1 68328i1 |
Quadratic twists by: -4 -3 |