Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bg |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-41783738832080000 = -1 · 27 · 54 · 710 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,85724,-1835102] |
[a1,a2,a3,a4,a6] |
Generators |
[436216:10218251:1331] |
Generators of the group modulo torsion |
j |
947479931975/568249472 |
j-invariant |
L |
6.0888191647682 |
L(r)(E,1)/r! |
Ω |
0.21079156634988 |
Real period |
R |
7.2213742458015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cr1 15050m1 |
Quadratic twists by: 5 -7 |