Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bo |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
48429429472265625 = 314 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91130,-91128] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:3125:1] |
Generators of the group modulo torsion |
j |
7347774183121/4251692025 |
j-invariant |
L |
2.9993917964466 |
L(r)(E,1)/r! |
Ω |
0.301400515057 |
Real period |
R |
2.4878787913479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12075i2 7245i2 |
Quadratic twists by: -3 5 |