Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bk |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1815619722070000 = 24 · 54 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-207543801,1150816909548] |
[a1,a2,a3,a4,a6] |
Generators |
[757923795:-379517534:91125] |
Generators of the group modulo torsion |
j |
60988245367621825/112 |
j-invariant |
L |
4.3312712861425 |
L(r)(E,1)/r! |
Ω |
0.21480202694456 |
Real period |
R |
10.082007483245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350ch2 42350dc2 |
Quadratic twists by: 5 -11 |