Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842c |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-1259776 = -1 · 28 · 7 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 2 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20,42] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
949862087/1259776 |
j-invariant |
L |
1.6181604351814 |
L(r)(E,1)/r! |
Ω |
1.8349211419802 |
Real period |
R |
0.440934598812 |
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 |
78736q1 88578bl1 68894k1 |
Quadratic twists by: -4 -3 -7 |