Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464w |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
820882833408 = 217 · 36 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11+ -5 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,9722] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:110:1] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
6.3149505467096 |
L(r)(E,1)/r! |
Ω |
0.77535381206797 |
Real period |
R |
2.0361512609784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14058h1 12496i1 |
Quadratic twists by: -4 -3 |