Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bu |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
5777085888 = 26 · 36 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4059,-99468] |
[a1,a2,a3,a4,a6] |
Generators |
[58632:495729:512] |
Generators of the group modulo torsion |
j |
158516094528/123823 |
j-invariant |
L |
7.9043735584224 |
L(r)(E,1)/r! |
Ω |
0.59815695466491 |
Real period |
R |
6.607273807361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cf1 38304bj2 8512a1 |
Quadratic twists by: -4 8 -3 |