Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350dh |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-69610560320000 = -1 · 29 · 54 · 76 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6712,343881] |
[a1,a2,a3,a4,a6] |
Generators |
[475:10297:1] [45:-883:1] |
Generators of the group modulo torsion |
j |
454786175/946688 |
j-invariant |
L |
13.820675541695 |
L(r)(E,1)/r! |
Ω |
0.42686763506242 |
Real period |
R |
0.29978664925404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350n1 2150q1 |
Quadratic twists by: 5 -7 |