Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680y |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
3942408892553625600 = 246 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424225,46598975] |
[a1,a2,a3,a4,a6] |
Generators |
[890:7125:8] |
Generators of the group modulo torsion |
j |
32208729120020809/15039096422400 |
j-invariant |
L |
9.3180309570531 |
L(r)(E,1)/r! |
Ω |
0.22139602355955 |
Real period |
R |
7.0146027669543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bm1 2490c1 |
Quadratic twists by: -4 8 |