Atkin-Lehner |
5- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925x |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
116409600 |
Modular degree for the optimal curve |
Δ |
1.0838291591664E+29 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1631541458,19811768312494] |
[a1,a2,a3,a4,a6] |
Generators |
[278314:18169021:8] |
Generators of the group modulo torsion |
j |
1229583478862565412349440000/277460264746606800984853 |
j-invariant |
L |
3.3436588447215 |
L(r)(E,1)/r! |
Ω |
0.031492994440896 |
Real period |
R |
1.7695251850968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106925q1 |
Quadratic twists by: 5 |