Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192l |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-36695633117184 = -1 · 214 · 32 · 173 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18944,1051392] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-222:1] |
Generators of the group modulo torsion |
j |
-183570015361537/8958894804 |
j-invariant |
L |
5.6783051669306 |
L(r)(E,1)/r! |
Ω |
0.64343258035995 |
Real period |
R |
0.73541830440029 |
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 |
3774q2 120768dh2 90576ca2 |
Quadratic twists by: -4 8 -3 |