Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bf |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-146728968750000 = -1 · 24 · 34 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9417,-467838] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2772:1] |
Generators of the group modulo torsion |
j |
2955053056/4695327 |
j-invariant |
L |
5.7147478985258 |
L(r)(E,1)/r! |
Ω |
0.30576081945478 |
Real period |
R |
3.1150426107902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bd1 109200cf1 |
Quadratic twists by: -4 5 |