Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464x |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
106254187776 = 28 · 312 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9696,367148] |
[a1,a2,a3,a4,a6] |
Generators |
[37:243:1] |
Generators of the group modulo torsion |
j |
540174450688/569349 |
j-invariant |
L |
9.4331182143587 |
L(r)(E,1)/r! |
Ω |
1.053863824413 |
Real period |
R |
1.1188729946278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116j1 37488u1 |
Quadratic twists by: -4 -3 |