Atkin-Lehner |
3- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38493i |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-335654841249 = -1 · 36 · 73 · 134 · 47 |
Discriminant |
Eigenvalues |
1 3- -1 7- -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2535,57122] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-104:1] |
Generators of the group modulo torsion |
j |
-2471874619761/460431881 |
j-invariant |
L |
5.2820628113369 |
L(r)(E,1)/r! |
Ω |
0.92366390486713 |
Real period |
R |
0.47654985609507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4277c1 |
Quadratic twists by: -3 |