Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ib |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
200459943936000 = 222 · 33 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18431841,-30464131041] |
[a1,a2,a3,a4,a6] |
Generators |
[13073969727:1663364043132:753571] |
Generators of the group modulo torsion |
j |
2641739317048851306841/764694000 |
j-invariant |
L |
7.6467007783761 |
L(r)(E,1)/r! |
Ω |
0.072863054581504 |
Real period |
R |
17.491033445551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240t2 28560cp2 |
Quadratic twists by: -4 8 |