Atkin-Lehner |
2+ 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234d |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
351957494 = 2 · 72 · 174 · 43 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -4 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-417,3110] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:69:1] [-6:76:1] |
Generators of the group modulo torsion |
j |
7991602939657/351957494 |
j-invariant |
L |
2.9598109948647 |
L(r)(E,1)/r! |
Ω |
1.6859577335291 |
Real period |
R |
0.87778327297398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81872bl2 92106bp2 71638c2 |
Quadratic twists by: -4 -3 -7 |