Atkin-Lehner |
2- 3+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434t |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-142655284671314688 = -1 · 28 · 39 · 72 · 132 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57782,18956485] |
[a1,a2,a3,a4,a6] |
Generators |
[641:-15973:1] |
Generators of the group modulo torsion |
j |
-1083934609007067/7247639316736 |
j-invariant |
L |
5.4313553952222 |
L(r)(E,1)/r! |
Ω |
0.28119498426786 |
Real period |
R |
0.30180100209393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434c2 |
Quadratic twists by: -3 |