Atkin-Lehner |
7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44149b |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
61973604547603 = 77 · 175 · 53 |
Discriminant |
Eigenvalues |
1 1 0 7- -5 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-374386,-88201571] |
[a1,a2,a3,a4,a6] |
j |
49327897490943625/526766947 |
j-invariant |
L |
0.77202268733203 |
L(r)(E,1)/r! |
Ω |
0.19300567188909 |
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 |
6307d1 |
Quadratic twists by: -7 |