Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bi |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
9435367265625 = 37 · 57 · 74 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5292,-9509] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:2809:8] |
Generators of the group modulo torsion |
j |
1439069689/828345 |
j-invariant |
L |
6.5784150520704 |
L(r)(E,1)/r! |
Ω |
0.60913074863049 |
Real period |
R |
2.6999191334785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12075d1 7245t1 |
Quadratic twists by: -3 5 |