Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bc |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304960 |
Modular degree for the optimal curve |
Δ |
-2664779262250000000 = -1 · 27 · 59 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -3 -3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-610076,-199569702] |
[a1,a2,a3,a4,a6] |
Generators |
[2302:101786:1] |
Generators of the group modulo torsion |
j |
-2230283909/236672 |
j-invariant |
L |
1.8709585500261 |
L(r)(E,1)/r! |
Ω |
0.084903865065414 |
Real period |
R |
5.509050037277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999252351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350db1 105350br1 |
Quadratic twists by: 5 -7 |