Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bw |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1749950821809450 = 2 · 38 · 52 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17032221,-27062564007] |
[a1,a2,a3,a4,a6] |
Generators |
[-514758:259133:216] |
Generators of the group modulo torsion |
j |
22638311752145721841/72499050 |
j-invariant |
L |
8.5940744999471 |
L(r)(E,1)/r! |
Ω |
0.074315898640865 |
Real period |
R |
7.2276547267948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000011844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630ba3 |
Quadratic twists by: 17 |