Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37392f |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-13707006503897088 = -1 · 211 · 38 · 192 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29984,-5986860] |
[a1,a2,a3,a4,a6] |
Generators |
[262:2052:1] |
Generators of the group modulo torsion |
j |
-1455716992652354/6692874269481 |
j-invariant |
L |
3.2491276584663 |
L(r)(E,1)/r! |
Ω |
0.16444217810975 |
Real period |
R |
1.2349050650405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18696f4 112176g3 |
Quadratic twists by: -4 -3 |