Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650de |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
1393332726500 = 22 · 53 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19423,-1041963] |
[a1,a2,a3,a4,a6] |
j |
3659383421/6292 |
j-invariant |
L |
0.80890067064548 |
L(r)(E,1)/r! |
Ω |
0.40445034804476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78650bm1 7150l1 |
Quadratic twists by: 5 -11 |