Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950de |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
49744945778062500 = 22 · 34 · 56 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2124176,1191383498] |
[a1,a2,a3,a4,a6] |
Generators |
[-1564:27021:1] [816:841:1] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
10.443514361622 |
L(r)(E,1)/r! |
Ω |
0.33585816788478 |
Real period |
R |
0.97171918148926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999940923 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bd3 2550b3 |
Quadratic twists by: 5 -7 |