Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bt |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
701506047219904512 = 212 · 37 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182315,493177178] |
[a1,a2,a3,a4,a6] |
Generators |
[391:9522:1] [9247:883314:1] |
Generators of the group modulo torsion |
j |
413493625/1587 |
j-invariant |
L |
9.7970147029844 |
L(r)(E,1)/r! |
Ω |
0.28735755259973 |
Real period |
R |
8.5233662857144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4761c2 25392x2 3312l2 |
Quadratic twists by: -4 -3 -23 |