Atkin-Lehner |
2- 3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550by |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
833270625000000 = 26 · 33 · 510 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92213,10680417] |
[a1,a2,a3,a4,a6] |
j |
5549839638048649/53329320000 |
j-invariant |
L |
9.066978016509 |
L(r)(E,1)/r! |
Ω |
0.50372100264745 |
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 |
22110a1 |
Quadratic twists by: 5 |