Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bi |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4712256 = 26 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 0 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:27:8] |
Generators of the group modulo torsion |
j |
681472/101 |
j-invariant |
L |
7.3286368694125 |
L(r)(E,1)/r! |
Ω |
1.6916069350169 |
Real period |
R |
2.1661760536317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bg1 29088d1 6464c1 |
Quadratic twists by: -4 8 -3 |