Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075t |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10845046875 = -1 · 3 · 56 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -2 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,149,4973] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1001:8] |
Generators of the group modulo torsion |
j |
23639903/694083 |
j-invariant |
L |
9.6670044388166 |
L(r)(E,1)/r! |
Ω |
0.96376390559847 |
Real period |
R |
5.0152347388508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225u2 1443c2 |
Quadratic twists by: -3 5 |