Atkin-Lehner |
3- 5- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415u |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
-1.8749626886301E+24 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25313526,44007184543] |
[a1,a2,a3,a4,a6] |
Generators |
[182:220409:1] |
Generators of the group modulo torsion |
j |
2460674139047559362102111/2571965279328005859375 |
j-invariant |
L |
6.976029928585 |
L(r)(E,1)/r! |
Ω |
0.055118525988931 |
Real period |
R |
1.1718903643455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805c1 |
Quadratic twists by: -3 |