Atkin-Lehner |
7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112651n |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-1649323291 = -1 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
-2 -2 -3 7- 11- -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-282,2580] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:60:1] [-4:60:1] |
Generators of the group modulo torsion |
j |
-28672/19 |
j-invariant |
L |
2.6604483843338 |
L(r)(E,1)/r! |
Ω |
1.3827825283813 |
Real period |
R |
0.48099544368482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112651b1 931c1 |
Quadratic twists by: -7 -11 |