Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576h |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15269899008 = -1 · 28 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,-2960] |
[a1,a2,a3,a4,a6] |
Generators |
[68:588:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
4.8881386335112 |
L(r)(E,1)/r! |
Ω |
0.69732088599177 |
Real period |
R |
1.7524710401292 |
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 |
15288l2 122304gx2 91728bg2 624d2 |
Quadratic twists by: -4 8 -3 -7 |