Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525db |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-88100120907421875 = -1 · 35 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 4 -6 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8167,14280494] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:3748:1] |
Generators of the group modulo torsion |
j |
1310720/1917027 |
j-invariant |
L |
7.1575922783274 |
L(r)(E,1)/r! |
Ω |
0.2662249094658 |
Real period |
R |
2.6885509264013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525k1 12075n1 |
Quadratic twists by: 5 -7 |