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 |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
179643670069248 = 218 · 33 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236376,44150292] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1470:1] |
Generators of the group modulo torsion |
j |
356595401944553689/43858317888 |
j-invariant |
L |
10.919543962973 |
L(r)(E,1)/r! |
Ω |
0.54830336414787 |
Real period |
R |
1.6595958670886 |
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 |
14322b1 |
Quadratic twists by: -4 |