Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576z |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-445641390923038128 = -1 · 24 · 35 · 714 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-505843,141982616] |
[a1,a2,a3,a4,a6] |
j |
-7604375980288000/236743082667 |
j-invariant |
L |
2.9576875094884 |
L(r)(E,1)/r! |
Ω |
0.29576875094877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288e1 122304ev1 91728bh1 4368a1 |
Quadratic twists by: -4 8 -3 -7 |