Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37392f |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12834682392840192 = 211 · 32 · 198 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59184,-1021068] |
[a1,a2,a3,a4,a6] |
Generators |
[372:5346:1] |
Generators of the group modulo torsion |
j |
11194740729382754/6266934762129 |
j-invariant |
L |
3.2491276584663 |
L(r)(E,1)/r! |
Ω |
0.3288843562195 |
Real period |
R |
4.9396202601621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18696f3 112176g4 |
Quadratic twists by: -4 -3 |