Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cm |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
25401600 |
Modular degree for the optimal curve |
Δ |
-1.0168841351016E+24 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11+ 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6778480,-48992463866] |
[a1,a2,a3,a4,a6] |
Generators |
[9326:-836063:1] |
Generators of the group modulo torsion |
j |
-853568487231090688/25199336830078125 |
j-invariant |
L |
4.6845834405281 |
L(r)(E,1)/r! |
Ω |
0.03811116213368 |
Real period |
R |
0.22762765639115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105k1 |
Quadratic twists by: -7 |