Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53900bi |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
377300000000 = 28 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,32537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:225:1] |
Generators of the group modulo torsion |
j |
40960/11 |
j-invariant |
L |
9.9901521862982 |
L(r)(E,1)/r! |
Ω |
0.88945907683931 |
Real period |
R |
1.8719527494199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900u1 53900bk1 |
Quadratic twists by: 5 -7 |