Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100c |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-2154166219626750000 = -1 · 24 · 39 · 56 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,-70612838] |
[a1,a2,a3,a4,a6] |
Generators |
[21195477322820306:722980071117356850:17367942409273] |
Generators of the group modulo torsion |
j |
-488095744000/8616664878507 |
j-invariant |
L |
5.4863666173135 |
L(r)(E,1)/r! |
Ω |
0.11871739388592 |
Real period |
R |
23.106835755134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5124c1 |
Quadratic twists by: 5 |