Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107736b |
Isogeny class |
Conductor |
107736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
208416112517376 = 28 · 32 · 676 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19452,-786240] |
[a1,a2,a3,a4,a6] |
Generators |
[-22062614628331445:-26500146916837440:198777934899881] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
9.3252889748327 |
L(r)(E,1)/r! |
Ω |
0.4118943683418 |
Real period |
R |
22.640001094622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026493 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24a1 |
Quadratic twists by: -67 |