Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894f |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3.8470908484338E+19 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2893671,-1872175843] |
[a1,a2,a3,a4,a6] |
Generators |
[1180756921:17159338444:571787] |
Generators of the group modulo torsion |
j |
22776299351008763113/326997326660984 |
j-invariant |
L |
8.6930889172625 |
L(r)(E,1)/r! |
Ω |
0.11585500543022 |
Real period |
R |
12.505701825355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842d2 |
Quadratic twists by: -7 |