Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cl |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
513962496000000000 = 218 · 310 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684833,-215162463] |
[a1,a2,a3,a4,a6] |
Generators |
[1011:11172:1] |
Generators of the group modulo torsion |
j |
69375867029/1003833 |
j-invariant |
L |
2.196396593363 |
L(r)(E,1)/r! |
Ω |
0.16610544717415 |
Real period |
R |
6.6114526457177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jz2 1275g2 81600ep2 |
Quadratic twists by: -4 8 5 |