Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576br |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-516545815303913472 = -1 · 215 · 36 · 78 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216536,51887892] |
[a1,a2,a3,a4,a6] |
Generators |
[268:3630:1] |
Generators of the group modulo torsion |
j |
-274129705558173529/126109818189432 |
j-invariant |
L |
10.919543962973 |
L(r)(E,1)/r! |
Ω |
0.27415168207393 |
Real period |
R |
3.3191917341772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322b2 |
Quadratic twists by: -4 |