Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557r |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9316799939407527 = 38 · 73 · 374 · 472 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136112,18796020] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:6212:1] |
Generators of the group modulo torsion |
j |
382544919790940089/12780246830463 |
j-invariant |
L |
3.3097921938401 |
L(r)(E,1)/r! |
Ω |
0.40755231700619 |
Real period |
R |
0.33838111595386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519f2 |
Quadratic twists by: -3 |