Atkin-Lehner |
2+ 3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528g |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2950399353170094336 = 28 · 32 · 76 · 174 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-523132,-120090580] |
[a1,a2,a3,a4,a6] |
Generators |
[-841570115:-773408832:1520875] |
Generators of the group modulo torsion |
j |
61846971332466140368/11524997473320681 |
j-invariant |
L |
9.8724512278497 |
L(r)(E,1)/r! |
Ω |
0.17980621774447 |
Real period |
R |
13.726515350528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958369 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54264d2 |
Quadratic twists by: -4 |