Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bd |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-13732609403700000 = -1 · 25 · 35 · 55 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26623,-5883022] |
[a1,a2,a3,a4,a6] |
Generators |
[274:2585:1] |
Generators of the group modulo torsion |
j |
-1177918188481/7751700000 |
j-invariant |
L |
8.3274364159309 |
L(r)(E,1)/r! |
Ω |
0.16637291160032 |
Real period |
R |
1.0010567616393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570bd1 |
Quadratic twists by: -11 |