Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240co |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-13434624000000 = -1 · 214 · 32 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5775,-52623] |
[a1,a2,a3,a4,a6] |
Generators |
[17:224:1] [24:315:1] |
Generators of the group modulo torsion |
j |
1299823947056/819984375 |
j-invariant |
L |
10.822866450346 |
L(r)(E,1)/r! |
Ω |
0.40650348944673 |
Real period |
R |
0.73956358795227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kf1 14280t1 |
Quadratic twists by: -4 8 |