Atkin-Lehner |
7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112651b |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-194041235862859 = -1 · 78 · 116 · 19 |
Discriminant |
Eigenvalues |
-2 2 3 7+ 11- 6 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13834,-912682] |
[a1,a2,a3,a4,a6] |
j |
-28672/19 |
j-invariant |
L |
3.4202638523633 |
L(r)(E,1)/r! |
Ω |
0.21376656339208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112651n1 931a1 |
Quadratic twists by: -7 -11 |