Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790er |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2427387062990400 = 26 · 36 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-156638,-23704019] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:457:1] |
Generators of the group modulo torsion |
j |
4955605568649/28302400 |
j-invariant |
L |
8.0820180061731 |
L(r)(E,1)/r! |
Ω |
0.24006279057844 |
Real period |
R |
1.4027611251401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001222 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9310j2 11970cf2 |
Quadratic twists by: -3 -7 |