Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3650p |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-45625000 = -1 · 23 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[12:19:1] |
Generators of the group modulo torsion |
j |
-1771561/2920 |
j-invariant |
L |
3.7273803523971 |
L(r)(E,1)/r! |
Ω |
0.80167906585058 |
Real period |
R |
0.38745558241172 |
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 |
29200x1 116800s1 32850s1 730e1 |
Quadratic twists by: -4 8 -3 5 |