Atkin-Lehner |
2+ 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450z |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1875456 |
Modular degree for the optimal curve |
Δ |
-1557960480000000 = -1 · 211 · 36 · 57 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-874276,314577698] |
[a1,a2,a3,a4,a6] |
Generators |
[592:1841:1] |
Generators of the group modulo torsion |
j |
-4729863873908820529/99709470720 |
j-invariant |
L |
7.7250485050081 |
L(r)(E,1)/r! |
Ω |
0.43920213974374 |
Real period |
R |
0.7328676031854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090e1 |
Quadratic twists by: 5 |