Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1776c |
Isogeny class |
Conductor |
1776 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-591408 = -1 · 24 · 33 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
-256000/36963 |
j-invariant |
L |
3.3132323801941 |
L(r)(E,1)/r! |
Ω |
2.3751815274759 |
Real period |
R |
0.9299590625999 |
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 |
888c1 7104l1 5328d1 44400b1 |
Quadratic twists by: -4 8 -3 5 |