Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gz |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9459764321817600 = 210 · 37 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53165,622125] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:1295:1] |
Generators of the group modulo torsion |
j |
16229658398623744/9238051095525 |
j-invariant |
L |
3.3024938733384 |
L(r)(E,1)/r! |
Ω |
0.35162128300153 |
Real period |
R |
4.6960950121027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998995701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240eu1 28560bi1 |
Quadratic twists by: -4 8 |