Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bs |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
35389440 |
Modular degree for the optimal curve |
Δ |
-3.7016618035363E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,71270433,-179055700659] |
[a1,a2,a3,a4,a6] |
Generators |
[11109:1402833:1] |
Generators of the group modulo torsion |
j |
3514830176602998440279/3249744244531200000 |
j-invariant |
L |
2.2671595669985 |
L(r)(E,1)/r! |
Ω |
0.035589128768902 |
Real period |
R |
3.9814819577897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999188814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050cg1 22230bj1 |
Quadratic twists by: -3 5 |