Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950do |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-2240050306450000000 = -1 · 27 · 58 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-493138,-151703969] |
[a1,a2,a3,a4,a6] |
Generators |
[835:4007:1] |
Generators of the group modulo torsion |
j |
-19165185625/3236992 |
j-invariant |
L |
16.468550695161 |
L(r)(E,1)/r! |
Ω |
0.089255126060343 |
Real period |
R |
4.3931185476515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950bd1 10450m1 |
Quadratic twists by: 5 -11 |