Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634cc |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-20480422747752576 = -1 · 27 · 37 · 711 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23143,-6756487] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:42604:1] |
Generators of the group modulo torsion |
j |
15983964359/238793856 |
j-invariant |
L |
9.743907482416 |
L(r)(E,1)/r! |
Ω |
0.18775273322359 |
Real period |
R |
0.46337101173668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878r1 4662p1 |
Quadratic twists by: -3 -7 |