Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bb |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
9568494140625 = 33 · 59 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5555,58322] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:465:1] |
Generators of the group modulo torsion |
j |
359425431/181447 |
j-invariant |
L |
3.6387294354651 |
L(r)(E,1)/r! |
Ω |
0.64325941345902 |
Real period |
R |
0.94278434675309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bc1 36225v1 |
Quadratic twists by: -3 5 |