Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328t |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
71834169344 = 212 · 72 · 713 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94257,-11169761] |
[a1,a2,a3,a4,a6] |
Generators |
[-4794:71:27] |
Generators of the group modulo torsion |
j |
461437760133952/357911 |
j-invariant |
L |
2.8994786187044 |
L(r)(E,1)/r! |
Ω |
0.27247131496519 |
Real period |
R |
1.773568131175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999083102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328i1 111328b1 |
Quadratic twists by: -4 -7 |