Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576ck |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4602544128 = -1 · 214 · 32 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,376,-1548] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
596183/468 |
j-invariant |
L |
5.4840505336684 |
L(r)(E,1)/r! |
Ω |
0.76514903104493 |
Real period |
R |
1.791824308455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822b1 122304eq1 91728dj1 30576ce1 |
Quadratic twists by: -4 8 -3 -7 |