Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376x |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-375641583616 = -1 · 212 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 -1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1803,701] |
[a1,a2,a3,a4,a6] |
Generators |
[290:34983:1000] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
6.6346900688323 |
L(r)(E,1)/r! |
Ω |
0.5723247398813 |
Real period |
R |
5.7962635602884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3211a1 304e1 |
Quadratic twists by: -4 13 |