Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85100c |
Isogeny class |
Conductor |
85100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1035411700000000 = 28 · 58 · 234 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 1 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28133,959137] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1150:1] |
Generators of the group modulo torsion |
j |
615640662016/258852925 |
j-invariant |
L |
3.527219087918 |
L(r)(E,1)/r! |
Ω |
0.44514989509828 |
Real period |
R |
0.33015274943771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17020c1 |
Quadratic twists by: 5 |