Atkin-Lehner |
3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075c |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97605421875 = 33 · 56 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3850,89125] |
[a1,a2,a3,a4,a6] |
j |
404075127457/6246747 |
j-invariant |
L |
2.1367548588124 |
L(r)(E,1)/r! |
Ω |
1.0683774293978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225n2 1443e2 |
Quadratic twists by: -3 5 |