Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hu |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
26542080 |
Modular degree for the optimal curve |
Δ |
2026224608625000000 = 26 · 39 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1125209458,-14528118949912] |
[a1,a2,a3,a4,a6] |
Generators |
[147914:55273896:1] |
Generators of the group modulo torsion |
j |
10713357105862263488/137781 |
j-invariant |
L |
9.3577584355822 |
L(r)(E,1)/r! |
Ω |
0.026067009555789 |
Real period |
R |
9.9719045878692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600bn1 117600br1 16800bl1 |
Quadratic twists by: -4 5 -7 |