Atkin-Lehner |
3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63897i |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-31392604744177851 = -1 · 32 · 198 · 593 |
Discriminant |
Eigenvalues |
-2 3- 1 -3 0 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25150,-8376808] |
[a1,a2,a3,a4,a6] |
Generators |
[715:19381:1] |
Generators of the group modulo torsion |
j |
103583744/1848411 |
j-invariant |
L |
3.7663518768588 |
L(r)(E,1)/r! |
Ω |
0.1805236290923 |
Real period |
R |
3.4772473608147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63897e1 |
Quadratic twists by: -19 |