Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ke |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-5289883200 = -1 · 26 · 34 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,420,1278] |
[a1,a2,a3,a4,a6] |
Generators |
[138:945:8] |
Generators of the group modulo torsion |
j |
127719486656/82654425 |
j-invariant |
L |
10.104157046171 |
L(r)(E,1)/r! |
Ω |
0.84863011279387 |
Real period |
R |
2.9766080810291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ht1 57120bj2 |
Quadratic twists by: -4 8 |