Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bt |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.6576810967312E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29021344,61828589824] |
[a1,a2,a3,a4,a6] |
Generators |
[2336:82320:1] |
Generators of the group modulo torsion |
j |
-16354376146655191/523792501128 |
j-invariant |
L |
2.8016253484451 |
L(r)(E,1)/r! |
Ω |
0.10717558663528 |
Real period |
R |
3.2675647463202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822bd2 122304ih2 91728eg2 30576db2 |
Quadratic twists by: -4 8 -3 -7 |