Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7942j |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-246011392 = -1 · 29 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11- 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-520,4416] |
[a1,a2,a3,a4,a6] |
Generators |
[15:9:1] |
Generators of the group modulo torsion |
j |
-43204686625/681472 |
j-invariant |
L |
4.6503655794301 |
L(r)(E,1)/r! |
Ω |
1.7591572029003 |
Real period |
R |
0.88117301697331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536x1 71478bu1 87362bo1 7942r1 |
Quadratic twists by: -4 -3 -11 -19 |