Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150i |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-3294486000000000 = -1 · 210 · 33 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17808,2601216] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-2032:1] |
Generators of the group modulo torsion |
j |
1480374667773/7809152000 |
j-invariant |
L |
4.8375345750286 |
L(r)(E,1)/r! |
Ω |
0.32213473073527 |
Real period |
R |
0.93856974261068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150de1 22230w1 |
Quadratic twists by: -3 5 |