Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584bj |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-98130445056 = -1 · 28 · 37 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7104,230956] |
[a1,a2,a3,a4,a6] |
Generators |
[38:126:1] |
Generators of the group modulo torsion |
j |
-212454080512/525819 |
j-invariant |
L |
5.7625206230402 |
L(r)(E,1)/r! |
Ω |
1.0684234288436 |
Real period |
R |
0.3370925133795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18396h1 24528w1 |
Quadratic twists by: -4 -3 |