Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bi |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-41836776064453125 = -1 · 37 · 510 · 7 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36792,-10199759] |
[a1,a2,a3,a4,a6] |
Generators |
[4942:111379:8] |
Generators of the group modulo torsion |
j |
-483551781049/3672913125 |
j-invariant |
L |
6.5784150520704 |
L(r)(E,1)/r! |
Ω |
0.15228268715762 |
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 |
12075d4 7245t4 |
Quadratic twists by: -3 5 |