Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608x |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
21243407793979392 = 216 · 39 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261036,50852016] |
[a1,a2,a3,a4,a6] |
Generators |
[430:4256:1] |
Generators of the group modulo torsion |
j |
1524943337004/16468459 |
j-invariant |
L |
6.6729249876833 |
L(r)(E,1)/r! |
Ω |
0.38441074399247 |
Real period |
R |
0.72328504208023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cx1 9576d1 76608w1 |
Quadratic twists by: -4 8 -3 |