Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bm |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
-3.871697855376E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19709883,-297474727959] |
[a1,a2,a3,a4,a6] |
Generators |
[26908:4426683:1] |
Generators of the group modulo torsion |
j |
118945568634796775/5438434298909508 |
j-invariant |
L |
5.1590738571407 |
L(r)(E,1)/r! |
Ω |
0.031040342426768 |
Real period |
R |
5.1939200683624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050cd1 111150ew1 |
Quadratic twists by: -3 5 |