Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230x |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-945490218750 = -1 · 2 · 36 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1260,50166] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:86:1] |
Generators of the group modulo torsion |
j |
-2509090441/10718750 |
j-invariant |
L |
2.9213758466535 |
L(r)(E,1)/r! |
Ω |
0.76838605327872 |
Real period |
R |
1.9009818248041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bb1 76230ea1 |
Quadratic twists by: -3 -11 |