Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800ck |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-79277875200 = -1 · 213 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8288,287988] |
[a1,a2,a3,a4,a6] |
Generators |
[34:216:1] |
Generators of the group modulo torsion |
j |
-614929576585/774198 |
j-invariant |
L |
6.1520243522072 |
L(r)(E,1)/r! |
Ω |
1.0818467900303 |
Real period |
R |
0.17770608810653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850x1 70800bt1 |
Quadratic twists by: -4 5 |