Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2541a |
Isogeny class |
Conductor |
2541 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-18384729725270601 = -1 · 36 · 76 · 118 |
Discriminant |
Eigenvalues |
1 3+ 1 7+ 11- -5 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-389622,-93997647] |
[a1,a2,a3,a4,a6] |
j |
-30515071121161/85766121 |
j-invariant |
L |
1.5284647262446 |
L(r)(E,1)/r! |
Ω |
0.095529045390287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656dd1 7623h1 63525bu1 17787n1 |
Quadratic twists by: -4 -3 5 -7 |