Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cq |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
634689860209902 = 2 · 34 · 77 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5038524,-4353564510] |
[a1,a2,a3,a4,a6] |
Generators |
[-1296090:660681:1000] |
Generators of the group modulo torsion |
j |
120239032252215853873/5394774798 |
j-invariant |
L |
11.61115855972 |
L(r)(E,1)/r! |
Ω |
0.10076825141252 |
Real period |
R |
7.2016473249007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000097153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422r3 |
Quadratic twists by: -7 |