Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575p |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-180075351708984375 = -1 · 36 · 511 · 76 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7188,-20418633] |
[a1,a2,a3,a4,a6] |
j |
-2628643361401/11524822509375 |
j-invariant |
L |
2.6181907885091 |
L(r)(E,1)/r! |
Ω |
0.14545504380606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725ba1 4515d1 |
Quadratic twists by: -3 5 |