Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525z |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
15855041015625 = 3 · 59 · 76 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6763,-98344] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:2931:8] |
Generators of the group modulo torsion |
j |
148877/69 |
j-invariant |
L |
3.8104565968048 |
L(r)(E,1)/r! |
Ω |
0.55042139113604 |
Real period |
R |
3.4613994429425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525de1 1725r1 |
Quadratic twists by: 5 -7 |