Atkin-Lehner |
2- 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130bb |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-11054279452262400 = -1 · 232 · 34 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31775,-4561975] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2315:1] |
Generators of the group modulo torsion |
j |
3547966704307455599/11054279452262400 |
j-invariant |
L |
9.6336133456232 |
L(r)(E,1)/r! |
Ω |
0.20677794457626 |
Real period |
R |
0.72795582156421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390f1 |
Quadratic twists by: -3 |