Atkin-Lehner |
2+ 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37352a |
Isogeny class |
Conductor |
37352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-171613665988352 = -1 · 28 · 72 · 23 · 296 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 6 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2119,-631398] |
[a1,a2,a3,a4,a6] |
Generators |
[31020535:-207420888:274625] |
Generators of the group modulo torsion |
j |
-4110329300688/670365882767 |
j-invariant |
L |
6.5243243122194 |
L(r)(E,1)/r! |
Ω |
0.25453068224865 |
Real period |
R |
12.816380828001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704d2 |
Quadratic twists by: -4 |