Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
122351040 = 26 · 33 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140,402] |
[a1,a2,a3,a4,a6] |
Generators |
[67:536:1] |
Generators of the group modulo torsion |
j |
4775581504/1911735 |
j-invariant |
L |
7.1909595342407 |
L(r)(E,1)/r! |
Ω |
1.6896060591346 |
Real period |
R |
4.2559976864467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kb1 57120cc2 |
Quadratic twists by: -4 8 |