Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
101150bx |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
12207575521750000 = 24 · 56 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104913,11941817] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:3579:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
11.450461035823 |
L(r)(E,1)/r! |
Ω |
0.3899332236444 |
Real period |
R |
3.6706480483639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046g1 101150cj1 |
Quadratic twists by: 5 17 |