Atkin-Lehner |
7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112651f |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7704576 |
Modular degree for the optimal curve |
Δ |
-8.6801847806173E+22 |
Discriminant |
Eigenvalues |
0 1 -1 7- 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12956841,22868825557] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:164378:1] |
Generators of the group modulo torsion |
j |
-867158982656/312900721 |
j-invariant |
L |
4.1786008802524 |
L(r)(E,1)/r! |
Ω |
0.10137259097506 |
Real period |
R |
2.5762639814283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16093b1 112651d1 |
Quadratic twists by: -7 -11 |