Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576h |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
220238928 = 24 · 32 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163,-314] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:153:8] |
Generators of the group modulo torsion |
j |
256000/117 |
j-invariant |
L |
4.8881386335112 |
L(r)(E,1)/r! |
Ω |
1.3946417719835 |
Real period |
R |
3.5049420802584 |
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 |
15288l1 122304gx1 91728bg1 624d1 |
Quadratic twists by: -4 8 -3 -7 |