Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608db |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
63285689843712 = 220 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43980,-3529328] |
[a1,a2,a3,a4,a6] |
Generators |
[-3066:640:27] |
Generators of the group modulo torsion |
j |
1329185824875/8941324 |
j-invariant |
L |
5.3631945241779 |
L(r)(E,1)/r! |
Ω |
0.32980845680167 |
Real period |
R |
4.0653858430188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608h1 19152bd1 76608da3 |
Quadratic twists by: -4 8 -3 |