Atkin-Lehner |
2+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842b |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1102304 = 25 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 1 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-129,-619] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
240293820313/1102304 |
j-invariant |
L |
3.6669542645488 |
L(r)(E,1)/r! |
Ω |
1.4155803667398 |
Real period |
R |
1.2952123209345 |
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 |
78736x1 88578bg1 68894i1 |
Quadratic twists by: -4 -3 -7 |