Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592p |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-37895122944 = -1 · 212 · 36 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,744,-5168] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
15252992/12691 |
j-invariant |
L |
9.7938801527682 |
L(r)(E,1)/r! |
Ω |
0.63792422655499 |
Real period |
R |
1.2793943943004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74592g1 8288j1 |
Quadratic twists by: -4 -3 |