Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fv |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
173779608425472 = 210 · 312 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3831672,-2886892360] |
[a1,a2,a3,a4,a6] |
Generators |
[18338:154791:8] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
4.7940879505047 |
L(r)(E,1)/r! |
Ω |
0.10790770949102 |
Real period |
R |
4.4427668551542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bn1 19152y1 25536cq1 |
Quadratic twists by: -4 8 -3 |