Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bj |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2321017822265625 = 310 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51755,3907122] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-72:1] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
3.6430896139387 |
L(r)(E,1)/r! |
Ω |
0.44121712748785 |
Real period |
R |
4.1284544354407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12075b1 7245k1 |
Quadratic twists by: -3 5 |