Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bb |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50794196992000000 = -1 · 218 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-515825,142791125] |
[a1,a2,a3,a4,a6] |
Generators |
[3062:8633:8] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
6.401532341841 |
L(r)(E,1)/r! |
Ω |
0.35745840459607 |
Real period |
R |
4.4771169592939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1694f5 350d5 |
Quadratic twists by: 5 -11 |