Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680es |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.2776131228624E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-538232043,-4806184282342] |
[a1,a2,a3,a4,a6] |
Generators |
[51952043493060814:-17567107304294192733:435864341368] |
Generators of the group modulo torsion |
j |
5774905528848578698851241/31070538632700000 |
j-invariant |
L |
6.3359468927293 |
L(r)(E,1)/r! |
Ω |
0.031344208497269 |
Real period |
R |
25.267614011989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710ba4 28560cz4 |
Quadratic twists by: -4 -3 |