Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1616432025600000000 = 218 · 33 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305345,21917025] |
[a1,a2,a3,a4,a6] |
Generators |
[40:3125:1] |
Generators of the group modulo torsion |
j |
12010404962647729/6166198828125 |
j-invariant |
L |
5.8371695234091 |
L(r)(E,1)/r! |
Ω |
0.23525662098954 |
Real period |
R |
3.101490570461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240em3 28560de3 |
Quadratic twists by: -4 8 |