Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
7742g |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3712354899904 = 26 · 76 · 793 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3994,27476] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:326:1] |
Generators of the group modulo torsion |
j |
59914169497/31554496 |
j-invariant |
L |
1.5347251203263 |
L(r)(E,1)/r! |
Ω |
0.69093851586955 |
Real period |
R |
0.37020301253937 |
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 |
61936n2 69678bs2 158d1 |
Quadratic twists by: -4 -3 -7 |