Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-390468750000000000 = -1 · 210 · 3 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517501,146237315] |
[a1,a2,a3,a4,a6] |
Generators |
[71415991904:-840481640625:224755712] |
Generators of the group modulo torsion |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
7.4423662249775 |
L(r)(E,1)/r! |
Ω |
0.2997424113162 |
Real period |
R |
12.414603283381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gh1 14280bk1 |
Quadratic twists by: -4 8 |