Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ed |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2232348663663820800 = 223 · 32 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2411745,-1440612225] |
[a1,a2,a3,a4,a6] |
Generators |
[31170:5496195:1] |
Generators of the group modulo torsion |
j |
5918043195362419129/8515734343200 |
j-invariant |
L |
8.744306489758 |
L(r)(E,1)/r! |
Ω |
0.12115859339562 |
Real period |
R |
9.0215500123089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hg2 3570a2 |
Quadratic twists by: -4 8 |