Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cw |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17487360 |
Modular degree for the optimal curve |
Δ |
-4.1889172980048E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 1 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66018755,-208784779253] |
[a1,a2,a3,a4,a6] |
Generators |
[5047357313:408931989410:389017] |
Generators of the group modulo torsion |
j |
-103469982954859638963/1362041899468120 |
j-invariant |
L |
10.08942235271 |
L(r)(E,1)/r! |
Ω |
0.026461382836287 |
Real period |
R |
15.887023011249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150a1 22230e1 |
Quadratic twists by: -3 5 |