Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128bd |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
249400359936 = 210 · 33 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5195840832,-144157449247920] |
[a1,a2,a3,a4,a6] |
Generators |
[14920706897:-21994403912310:6859] |
Generators of the group modulo torsion |
j |
15149254835477430732977727429892/243555039 |
j-invariant |
L |
8.1445002133167 |
L(r)(E,1)/r! |
Ω |
0.017782204278775 |
Real period |
R |
19.083920656561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256s4 111384t4 |
Quadratic twists by: -4 -3 |