Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240x |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
184812061593600 = 212 · 32 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113321,-14630679] |
[a1,a2,a3,a4,a6] |
j |
39291516521873344/45120132225 |
j-invariant |
L |
2.0818129752912 |
L(r)(E,1)/r! |
Ω |
0.2602265359934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240cu2 57120ck1 |
Quadratic twists by: -4 8 |