Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87752814428160 = 216 · 38 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12545,-294783] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:441:1] |
Generators of the group modulo torsion |
j |
3331888019716/1339001685 |
j-invariant |
L |
5.1603880497564 |
L(r)(E,1)/r! |
Ω |
0.46710023060077 |
Real period |
R |
2.7619275944748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jt3 14280r3 |
Quadratic twists by: -4 8 |