Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ge |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
80612069379932160 = 238 · 32 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-412865,101052735] |
[a1,a2,a3,a4,a6] |
Generators |
[181211682323:4425793142784:196122941] |
Generators of the group modulo torsion |
j |
29689921233686449/307510640640 |
j-invariant |
L |
9.2276496666754 |
L(r)(E,1)/r! |
Ω |
0.34403657699572 |
Real period |
R |
13.410855436155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bm1 31920u1 |
Quadratic twists by: -4 8 |