Atkin-Lehner |
2- 5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105850g |
Isogeny class |
Conductor |
105850 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-338720000000 = -1 · 211 · 57 · 29 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 5 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15313,728617] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-421:1] |
Generators of the group modulo torsion |
j |
-25414777168201/21678080 |
j-invariant |
L |
10.842984320461 |
L(r)(E,1)/r! |
Ω |
0.95452976879867 |
Real period |
R |
0.25817053530724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21170c1 |
Quadratic twists by: 5 |