Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fq |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
5828667600000000 = 210 · 3 · 58 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53061,-2921739] |
[a1,a2,a3,a4,a6] |
Generators |
[-63196:258077:343] |
Generators of the group modulo torsion |
j |
16134601070166016/5692058203125 |
j-invariant |
L |
5.1607124755871 |
L(r)(E,1)/r! |
Ω |
0.32370196983507 |
Real period |
R |
7.9713950174868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998771471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dx1 28560du1 |
Quadratic twists by: -4 8 |