Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114308b |
Isogeny class |
Conductor |
114308 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
89047886155157392 = 24 · 17 · 419 |
Discriminant |
Eigenvalues |
2- -1 0 1 0 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2922138,-1921618091] |
[a1,a2,a3,a4,a6] |
Generators |
[5139:344605:1] [-626744866:140842585:636056] |
Generators of the group modulo torsion |
j |
36308048224000/1171657 |
j-invariant |
L |
10.319273095462 |
L(r)(E,1)/r! |
Ω |
0.11547160509615 |
Real period |
R |
22.341581485387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788b2 |
Quadratic twists by: 41 |