Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4050284149997568 = 226 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8940300,-10289072624] |
[a1,a2,a3,a4,a6] |
Generators |
[-201842034144:-2279653460:116930169] |
Generators of the group modulo torsion |
j |
11165451838341046875/572244736 |
j-invariant |
L |
4.4659761057985 |
L(r)(E,1)/r! |
Ω |
0.087309506400283 |
Real period |
R |
12.787771600262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608m1 19152bg1 76608dg3 |
Quadratic twists by: -4 8 -3 |