Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544m |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148992 |
Modular degree for the optimal curve |
Δ |
-2877489152 = -1 · 216 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 3 2 3 -3 4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133339,18740618] |
[a1,a2,a3,a4,a6] |
j |
-64008160346804913/702512 |
j-invariant |
L |
8.0274948926378 |
L(r)(E,1)/r! |
Ω |
1.0034368615801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818e1 122176bi1 |
Quadratic twists by: -4 8 |