Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225ch |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-160428751875 = -1 · 313 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -5 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1275,-8019] |
[a1,a2,a3,a4,a6] |
j |
503091200/352107 |
j-invariant |
L |
2.3096308766339 |
L(r)(E,1)/r! |
Ω |
0.57740771916524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075y1 36225bm1 |
Quadratic twists by: -3 5 |