Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cf |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.8592677719712E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,178735128,-217856480400] |
[a1,a2,a3,a4,a6] |
j |
3820420340137317041/2334869460099072 |
j-invariant |
L |
3.3443919303559 |
L(r)(E,1)/r! |
Ω |
0.030966591947774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822q2 122304hm2 91728fw2 30576cp2 |
Quadratic twists by: -4 8 -3 -7 |