Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636n |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-35896179312 = -1 · 24 · 32 · 74 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8738,-317451] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1485:1] |
Generators of the group modulo torsion |
j |
-1920867424000/934407 |
j-invariant |
L |
7.1163130833771 |
L(r)(E,1)/r! |
Ω |
0.24688786002287 |
Real period |
R |
4.8040117503267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bv2 82908l2 27636i2 |
Quadratic twists by: -4 -3 -7 |