Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225cd |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-220066875 = -1 · 37 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 0 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,756] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-23:1] [-9:26:1] |
Generators of the group modulo torsion |
j |
-102400/483 |
j-invariant |
L |
4.4927302174536 |
L(r)(E,1)/r! |
Ω |
1.5388043391067 |
Real period |
R |
0.24330200745675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075u1 36225bq1 |
Quadratic twists by: -3 5 |