Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592n |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-773369856 = -1 · 212 · 36 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,-5168] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5076:1] |
Generators of the group modulo torsion |
j |
-6229504/259 |
j-invariant |
L |
7.0687319106889 |
L(r)(E,1)/r! |
Ω |
0.49127972539434 |
Real period |
R |
3.5971013780051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74592bc1 8288i1 |
Quadratic twists by: -4 -3 |