Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842m |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
350 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
2.9895602418494E+20 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -1 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10836394,13707634697] |
[a1,a2,a3,a4,a6] |
Generators |
[17879:-2361577:1] |
Generators of the group modulo torsion |
j |
140727196512386480536476273/298956024184936205024 |
j-invariant |
L |
5.3738695972587 |
L(r)(E,1)/r! |
Ω |
0.17298650267908 |
Real period |
R |
0.088757867794512 |
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 |
78736m1 88578v1 68894r1 |
Quadratic twists by: -4 -3 -7 |