Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005o |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
6.8403131473936E+20 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8015843,8643403433] |
[a1,a2,a3,a4,a6] |
Generators |
[-1611:132625:1] |
Generators of the group modulo torsion |
j |
11800791241514070769/141715016015625 |
j-invariant |
L |
8.7425553731546 |
L(r)(E,1)/r! |
Ω |
0.16178079381116 |
Real period |
R |
2.2516463915729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385e1 |
Quadratic twists by: 13 |