Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cg |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
80351066062848000 = 225 · 3 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-802816481,-8755597873281] |
[a1,a2,a3,a4,a6] |
Generators |
[-33352866146504908362781940967818542598784021949423866:3042238505276965411381796970846675467168859625279:2038811834932193824744900414206345361438472647992] |
Generators of the group modulo torsion |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
8.4918401563708 |
L(r)(E,1)/r! |
Ω |
0.028362563730512 |
Real period |
R |
74.85078134277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999198279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dv4 3990g3 |
Quadratic twists by: -4 8 |