Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ej |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
337646196070312500 = 22 · 32 · 59 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2202576,1257690298] |
[a1,a2,a3,a4,a6] |
Generators |
[893:1317:1] |
Generators of the group modulo torsion |
j |
5142778950581/1469412 |
j-invariant |
L |
6.81178463625 |
L(r)(E,1)/r! |
Ω |
0.29720142279803 |
Real period |
R |
2.8649697075943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950gt2 17850j2 |
Quadratic twists by: 5 -7 |