Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270ca |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4340182725120 = -1 · 29 · 3 · 5 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3204,-71664] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1040:1] |
Generators of the group modulo torsion |
j |
2053225511/2449920 |
j-invariant |
L |
14.114925757707 |
L(r)(E,1)/r! |
Ω |
0.41724804099458 |
Real period |
R |
1.8793678209582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570i1 |
Quadratic twists by: -11 |