Atkin-Lehner |
2+ 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111622c |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
1020560838976 = 26 · 77 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2998,-39628] |
[a1,a2,a3,a4,a6] |
j |
25334470953/8674624 |
j-invariant |
L |
5.305154007656 |
L(r)(E,1)/r! |
Ω |
0.66314427472422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946b1 |
Quadratic twists by: -7 |