Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350v |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
-15295514000000 = -1 · 27 · 56 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 -2 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5137,124217] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-795:1] |
Generators of the group modulo torsion |
j |
959460498647/978912896 |
j-invariant |
L |
8.2274231068835 |
L(r)(E,1)/r! |
Ω |
0.46177930238339 |
Real period |
R |
0.42420919548208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1534a1 |
Quadratic twists by: 5 |