Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504v |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
17656123392 = 212 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320,16884] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-72:1] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
3.2051738106831 |
L(r)(E,1)/r! |
Ω |
1.2055219880864 |
Real period |
R |
0.26587435503941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
219c1 14016bh1 10512q1 87600bm1 |
Quadratic twists by: -4 8 -3 5 |