Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925z |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2673490803046875 = -1 · 37 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 4 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12300,2431656] |
[a1,a2,a3,a4,a6] |
Generators |
[290:-5513:1] |
Generators of the group modulo torsion |
j |
18067226624/234709755 |
j-invariant |
L |
4.3855056378904 |
L(r)(E,1)/r! |
Ω |
0.33658338739287 |
Real period |
R |
0.23266923921354 |
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 |
9975m1 5985g1 |
Quadratic twists by: -3 5 |