Atkin-Lehner |
5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
3605b |
Isogeny class |
Conductor |
3605 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-15771875 = -1 · 55 · 72 · 103 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ 6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,45,-148] |
[a1,a2,a3,a4,a6] |
Generators |
[19:78:1] |
Generators of the group modulo torsion |
j |
10063705679/15771875 |
j-invariant |
L |
2.7406570261268 |
L(r)(E,1)/r! |
Ω |
1.1652860636964 |
Real period |
R |
0.23519177921284 |
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 |
57680z1 32445g1 18025b1 25235b1 |
Quadratic twists by: -4 -3 5 -7 |