Atkin-Lehner |
5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
3605c |
Isogeny class |
Conductor |
3605 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
1408203125 = 59 · 7 · 103 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 6 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-365,1869] |
[a1,a2,a3,a4,a6] |
j |
5392518086656/1408203125 |
j-invariant |
L |
1.4194983954043 |
L(r)(E,1)/r! |
Ω |
1.4194983954043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57680v1 32445k1 18025a1 25235a1 |
Quadratic twists by: -4 -3 5 -7 |