Atkin-Lehner |
2- 3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260a |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
41476750237440 = 28 · 33 · 5 · 76 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-816423,283936158] |
[a1,a2,a3,a4,a6] |
Generators |
[547:1010:1] |
Generators of the group modulo torsion |
j |
8706942485726063472/6000687245 |
j-invariant |
L |
4.6186171975944 |
L(r)(E,1)/r! |
Ω |
0.53325012662834 |
Real period |
R |
1.4435430928798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999462279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127260c2 |
Quadratic twists by: -3 |