Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200t |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
574080 |
Modular degree for the optimal curve |
Δ |
707480831250000 = 24 · 313 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 1 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317583,-68768838] |
[a1,a2,a3,a4,a6] |
Generators |
[-2582:661:8] |
Generators of the group modulo torsion |
j |
566782983485440/113196933 |
j-invariant |
L |
3.4984040031267 |
L(r)(E,1)/r! |
Ω |
0.20111308772065 |
Real period |
R |
5.7984026939507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600k1 85200z1 |
Quadratic twists by: -4 5 |