Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bw |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15269899008 = 28 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-996,-10212] |
[a1,a2,a3,a4,a6] |
Generators |
[-14590:31639:1000] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
6.6523899719799 |
L(r)(E,1)/r! |
Ω |
0.85764681595808 |
Real period |
R |
7.7565611487153 |
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 |
7644g2 122304it2 91728ev2 624j2 |
Quadratic twists by: -4 8 -3 -7 |