Atkin-Lehner |
2+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504f |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
151214011984 = 24 · 7 · 675 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 0 -5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1342,-2833] |
[a1,a2,a3,a4,a6] |
Generators |
[-12357:89416:729] |
Generators of the group modulo torsion |
j |
16705569171456/9450875749 |
j-invariant |
L |
6.9260708803174 |
L(r)(E,1)/r! |
Ω |
0.85054585322571 |
Real period |
R |
8.1430893514444 |
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 |
3752i1 30016bs1 67536j1 52528r1 |
Quadratic twists by: -4 8 -3 -7 |