Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800m |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2990080000000 = 219 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 3 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6700,-194000] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:100:1] |
Generators of the group modulo torsion |
j |
8120601/730 |
j-invariant |
L |
3.5903035236623 |
L(r)(E,1)/r! |
Ω |
0.53072470216213 |
Real period |
R |
1.6912268804728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cd1 3650m1 23360g1 |
Quadratic twists by: -4 8 5 |