Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925bb |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-196337925 = -1 · 310 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-950,11522] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-14:1] |
Generators of the group modulo torsion |
j |
-5197545985/10773 |
j-invariant |
L |
3.5584349321161 |
L(r)(E,1)/r! |
Ω |
1.7912256400613 |
Real period |
R |
0.99329611315586 |
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 |
9975n1 29925bh1 |
Quadratic twists by: -3 5 |