Atkin-Lehner |
7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112651c |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-888985253849 = -1 · 74 · 117 · 19 |
Discriminant |
Eigenvalues |
1 1 -1 7+ 11- -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-45377] |
[a1,a2,a3,a4,a6] |
Generators |
[262751:417076:6859] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
6.163531057286 |
L(r)(E,1)/r! |
Ω |
0.40262636322201 |
Real period |
R |
7.6541573148144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112651h1 10241a1 |
Quadratic twists by: -7 -11 |