Atkin-Lehner |
2- 3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630bm |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-198207810 = -1 · 2 · 39 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -2 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,757] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:2111:64] |
Generators of the group modulo torsion |
j |
-3176523/10070 |
j-invariant |
L |
12.138458576208 |
L(r)(E,1)/r! |
Ω |
1.5694596379709 |
Real period |
R |
3.8670821094947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630f1 |
Quadratic twists by: -3 |