Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525dc |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-18742875676875 = -1 · 37 · 54 · 72 · 234 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8633,369569] |
[a1,a2,a3,a4,a6] |
Generators |
[67:310:1] |
Generators of the group modulo torsion |
j |
-2323716505600/612012267 |
j-invariant |
L |
4.115701016281 |
L(r)(E,1)/r! |
Ω |
0.65403829001296 |
Real period |
R |
0.22474115683117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525m1 84525w1 |
Quadratic twists by: 5 -7 |