Atkin-Lehner |
2- 3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260b |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2053304467200 = 28 · 33 · 52 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40743,-3164642] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:26:1] |
Generators of the group modulo torsion |
j |
1082128896838512/297063725 |
j-invariant |
L |
5.126415969942 |
L(r)(E,1)/r! |
Ω |
0.33604192063209 |
Real period |
R |
2.5425478871001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998405534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127260d2 |
Quadratic twists by: -3 |