Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bl |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5501671875 = -1 · 37 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,375,-2219] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:11471:8] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
10.640330763432 |
L(r)(E,1)/r! |
Ω |
0.74054887507401 |
Real period |
R |
3.592042038538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075f1 1449d1 |
Quadratic twists by: -3 5 |