Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cb |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2895606000000000 = -1 · 210 · 32 · 59 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34838,-3615469] |
[a1,a2,a3,a4,a6] |
Generators |
[465:8767:1] |
Generators of the group modulo torsion |
j |
-299270638153369/185318784000 |
j-invariant |
L |
9.0886190051471 |
L(r)(E,1)/r! |
Ω |
0.16994594388371 |
Real period |
R |
1.3369867496506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c1 |
Quadratic twists by: 5 |