Atkin-Lehner |
2- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550v |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-84614142500000000 = -1 · 28 · 510 · 173 · 832 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -4 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,105612,4629392] |
[a1,a2,a3,a4,a6] |
j |
13340226790775/8664488192 |
j-invariant |
L |
3.4104931091902 |
L(r)(E,1)/r! |
Ω |
0.21315582085093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550t1 |
Quadratic twists by: 5 |