Atkin-Lehner |
2- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9842k |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
-338768883712 = -1 · 212 · 76 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7303,-240001] |
[a1,a2,a3,a4,a6] |
j |
-43069701481085889/338768883712 |
j-invariant |
L |
4.6458741240774 |
L(r)(E,1)/r! |
Ω |
0.2581041180043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78736h1 88578r1 68894m1 |
Quadratic twists by: -4 -3 -7 |