Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584h |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-57308179912704 = -1 · 211 · 37 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9579,-512710] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8030:1] |
Generators of the group modulo torsion |
j |
-65106860114/38384787 |
j-invariant |
L |
7.5346599106908 |
L(r)(E,1)/r! |
Ω |
0.23493359248293 |
Real period |
R |
4.0089306890049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36792i2 24528c2 |
Quadratic twists by: -4 -3 |