Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bi |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1256932871403125000 = -1 · 23 · 58 · 76 · 434 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 1 -4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450825,-128577875] |
[a1,a2,a3,a4,a6] |
Generators |
[87030:9016585:8] |
Generators of the group modulo torsion |
j |
-220496102185/27350408 |
j-invariant |
L |
3.1436769163276 |
L(r)(E,1)/r! |
Ω |
0.09148769870401 |
Real period |
R |
2.8634787346301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998717982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cp1 2150f1 |
Quadratic twists by: 5 -7 |