Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128bg |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
1604597904 = 24 · 33 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-952,10829] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-21:1] |
Generators of the group modulo torsion |
j |
5969949899008/100287369 |
j-invariant |
L |
4.8915814388821 |
L(r)(E,1)/r! |
Ω |
1.5035904120166 |
Real period |
R |
0.10844224153483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256f1 111384y1 |
Quadratic twists by: -4 -3 |