Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064x |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
88205503590319104 = 210 · 34 · 1110 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1961117704,-33428131128064] |
[a1,a2,a3,a4,a6] |
Generators |
[4114486390312815319458402658173630225091944112:769692111781141572085432678409632302523644722511:58867005305425862189811076479178510118912] |
Generators of the group modulo torsion |
j |
459810226079738871007108/48622761 |
j-invariant |
L |
6.4275122068253 |
L(r)(E,1)/r! |
Ω |
0.022686820745458 |
Real period |
R |
70.828701763123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824e1 |
Quadratic twists by: -11 |